if g(x) is the image of y=-3x[tex]y=3x^{2}-24x+2[/tex] after a translation left 5 units and up 5 units write in starnded form

Answers

Answer 1

The image of y which is g(x) is 3x² + 60x + 82.

What are some transformation of functions?

Suppose we have a function f(x).

f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).

f(x ± c) = Horizontal left/right shift by c units (x - + c, y).

(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).

f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).

f(-x) = Reflection over y axis, (-x, y).

-f(x) = Reflection over x-axis, (x, -y).

Given, y = 3x² - 24x + 2.

Now, g(x) is an image of y after a translation left 5 units and up 5 units.

∴ g(x) =  3(x + 5)² + 2 + 5.

g(x) = 3(x² + 20x + 25) + 7.

g(x) = 3x² + 60x + 75 + 7.

g(x) = 3x² + 60x + 82.

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Related Questions

Try to do 1 2 and 3 questions
Not the 4th question

Answers

Answer:

1.  x=25

2. x=6

3.  y=30;  x=20

Step-by-step explanation:

1.)  180 - 130 = 2x

2x = 50

x = 50/2 = 25

2.)  24 = 3(x+2)

24 = 3x + 6

3x = 18

x = 18/3 = 6

3.)  y = 46 - 16 = 30

x = 180 - 100 - 60 = 20

PLS HELP MEEEEEEEE!!!!it’s due tomorrow!!!

Answers

The dilation rule applied to quadrilateral ABCD is (1.5x, 1.5y)

What is the Dilation?

Math definition of dilation Resizing an object is accomplished through a change called dilation. The objects can be enlarged or shrunk via dilation. A shape identical to the source image is created by this transformation. The size of the form does, however, differ.

Using C' and C as points of references,

C' = (4,4)

C = (6,6)

The dilation factor (k) is calculated as:

k= C/C' = (6,6)/ (4,4)

Factorize:

k = [3(2,2)] / [2(2,2)]  = 1.5

Hence, the scale factor is 1.5

The dilation rule is:

(x,y) => k (x,y)

(x,y) => 1.5 (x,y)

(x,y) => (1.5x, 1.5y)

So, the dilation rule applied to quadrilateral ABCD is (1.5x, 1.5y)

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Which is larger? Show your work to justify your answer.
8/11 or 0.723

Answers

Answer: 8/11 = 0.727

Step-by-step explanation:

An image of a television is shown. The depth of the television is 4 inches. The
height of the television is 39 inches with a diagonal length of 65 inches.
39 in
65 in
What is the surface area of the model?
A. 5,902 in²
B. 7,696 in²
C. 4,784 in²
D. 6,162 in²

Answers

The surface area of the model is 4,784 in². Option C. is the answer

How to find the surface area of the model?

Given: depth of the television = 4 inches, the height of the television = 39 inches and diagonal length = 65 inches.

From the image attached. You can find the width of the television using Pythagoras' theorem:

Width (W) = √(65²-39²)  = 52 inches

Surface area of the model = (area of back and front) + (area of left and right) + (area of top and bottom)

Let H, D and W represent the height, depth and width of the television respectively  

Surface area of the model = 2WH + 2WD + 2DH

Surface area of the model = 2×52×39 + 2×52×4 + 2×4×39

Surface area of the model = 4056 + 416 + 312

Surface area of the model = 4,784 in²

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Answer: 4,784 in2

Step-by-step explanation: CORRECT ON EDMENTUM

Plsss help mee I have my exam Tuesday

Answers

(1) TV = 7

(2) JL = 25

(3) The distance between I and J is 7.

(4)  The distance between C and D is 5.

What is distance?

Distance is a measurement of how far apart two objects or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

(1) Given that: ST = 6 and SV = 13

We have to find TV

From figure,

   SV = ST + TV

    13 = 6 + TV

13 - 6 = TV

   TV = 7

(2) Given: KL = 9 and JK = 16

We have to find JL

From figure,

JL = JK + KL

JL = 16 + 9

JL = 25

(3) We have to find the distance between I and J.

Let, I = -9 and J = -2

IJ = -2 - (-9)

IJ = -2 + 9

IJ = 7

Hence, the distance between I and J is 7.

(4) We have to find the distance between C and D.

Let, C = 3 and D = 8

CD = 8 - 3

CD = 5

Hence, the distance between C and D is 5.

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Use the number line below to determine which of the following answer choices has statements that are all true.
7
Point A represents -4, Point D represents 1, and -4 < 1
O Point B represents -21, Point C represents 1, and 1> - 2/1/201
O Point B represents -2, Point C represents 1, and 1 < - 21/
O Point B represents 21, Point C represents 1, and 2½ > 1
B

Answers

The response choice that include the true statements based on the number line is the second option;

Point B represents [tex]-2\frac{1}{2}[/tex], Point C represents 1, and 1 > [tex]-2\frac{1}{2}[/tex]

What is a number line?

A number line is a line that contains (equally spaced) markings, which is then used to illustrate mathematical operations.

The number line in the question is presented as follows;

<________|_____|_____|__|__|____|____|____|___|_|____|_____|____>

                -5          A               B                     0       C      D                     5  [tex]{}[/tex]

Therefore, based on the number line, we get;

The location of the point A is 4 units to the left of the point 0, taking the points to the right of zero as positive, we get;

Each unit to the left of point O, is -1 larger than the previous value, moving from right to left.

The coordinates of the point A is therefore, -1 × 4 = -4

The point A represents -4The point B is two and a half unit to the left of 0, therefore, the point B represents -2 1/2

The location of the point C is one unit to the right of 0, therefore, the coordinates of the point C is 1

The point C represents 1

The location of the point C = 1 is further right to 0 than the point B = -2 1/2

Therefore;

C > B, which indicates 1 > -2 1/2

The correct option is; Point B represents -2 1/2, Point C represents 1, and 1 > -2 1/2

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40 POINTS ASAP!!!!!!!!!!!!!!!! 40 POINTS ASAP!!!!!40 POINTS ASAP!!!!!40 POINTS ASAP!!!!!!!!!!!!!!!! 40 POINTS ASAP!!!!!40 POINTS ASAP!!!!!

In the diagram, the measures of ∠2, ∠6, and ∠7 are 25°. The measure of ∠1 is 155°. Are lines c and d parallel?

Answers

Answer: Yes

Step-by-step explanation:

Parallel means that the lines are a constant distance away from each other and they never touch. As you can see lines C and D never touch.

Answer:

lets say C BAHAHAHA

Step-by-step explanation:

Barry draws the model below and says it proves that 1,243\3=481. What mistake does Barry make

Answers

Answer:

Step-by-step explanation:

You need to show the model so I can answer

Sudzy introduced a new formula for their hair conditioner. They want to conduct an experiment to compare the hair strength of people using the new formula with those using the current formula. Information on the twelve volunteers is shown in the table.


Volunteer Gender Age, year
1 Male 21
2 Female 37
3 Female 30
4 Male 32
5 Male 24
6 Female 22
7 Male 45
8 Female 42
9 Male 42
10 Female 47
11 Male 36
12 Female 23


Part A: The scientists running the experiment think hair strength changes based on age, not their gender. Create six blocks of two volunteers and identify the volunteers, by number, who would be included in each block. Explain the criteria you used to create the blocks. (3 points)

Part B: The company brings in an outside analysis firm that believes hair strength changes based on age and gender. The firm also uses block design with six blocks of two volunteers for each block. Group the volunteers, by number, who would be included in each block. Explain the criteria you used to create the blocks. (3 points)

Part C: The outside analysis firm from part B assigns treatments by giving three blocks the new formula and three blocks the current formula. Did they assign the treatments appropriately? If so, explain a suitable process for selecting the blocks that receive the new formula. If not, explain a suitable method for assigning treatments. (4 points) (10 points)

Answers

The probability of the prior event is multiplied by the current likelihood of the subsequent, or conditional, occurrence to determine the conditional probability.

What is conditional problems?

The conditional probability is calculated by multiplying the probability of the previous event by the current probability of the subsequent, or conditional, occurrence. As an example, think about Event A: There is a 0.3 (30%) chance of rain today despite the fact that it is currently pouring outside.

Part A:

Creation of four blocks of two volunteers:

PART A: Skin Dryness based on age:

Volunteer     Gender     Age, year

5                     Male         22

1                      Male         23

4                     Female     24

2                     Female     25

3                     Female     51

7                     Male         52

The criteria for creating the blocks is age.  The gender is not a material consideration.

Part B:

Creation of four blocks of two volunteers:

PART B:  Skin Dryness based on Age and Gender:

Volunteer     Gender     Age, year

5                     Male         22

4                     Female     24  

1                      Male         23

2                     Female     25

3                     Female     51

6                     Male        53

7                     Male         52

8                     Female    56

The criteria for creating the four blocks are age and gender.  Each gender is included in each group.

Part C:

Randomly assigning treatment to groups without regard to their group dynamics may not be the most efficient.  The new treatment formula should be assigned to one of the young groups and one of the old groups, using stratification.  This will help to explain if age or gender causes skin dryness or not.

a) Data and Calculations:

Volunteer     Gender     Age, year

1                      Male          23

2                     Female     25

3                     Female     51

4                     Female     24

5                     Male         22

6                     Male         53

7                     Male         52

8                     Female    56

PART A: Skin Dryness based on Age:

Volunteer     Gender     Age, year

5                     Male         22

1                      Male         23

4                     Female     24

2                     Female     25

3                     Female     51

7                     Male         52

6                     Male        53

8                     Female    56

PART B:  Skin Dryness based on Age and Gender:

Volunteer     Gender     Age, year

5                     Male         22

4                     Female     24  

1                      Male         23

2                     Female     25

3                     Female     51

6                     Male        53

7                     Male         52

8                     Female    56

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which inequality will use a solid line in its solution graph?

A) (y<2x) B(y>x) c (y<2x+4) or D(y>2x-5

Answers

In the given options, none of them have inequality sign ≤ and ≥,  so the given inequalities do not have solid line in its solution graph.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

A solution for an inequality in x is a number such that when we substitute that number for x we have a true statement.

The boundary line for the inequality is drawn as a solid line if the points on the line itself do satisfy the inequality, as in the cases of ≤ and ≥. It is drawn as a dashed line if the points on the line do not satisfy the inequality, as in the cases of < and >.

Hence, in the given options, none of them have inequality sign ≤ and ≥,  so the given inequalities do not have solid line in its solution graph.

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URGENT! I NEED ANSWERS TO THESE QUESTIONS PLS

Answers

Answer:

The first one is congruent.  Vertical angles are congruent (same measurement)

The second and third pictures are the same Supplemental.  The two angels added together is 180

The last picture is commentary.  That is when two angles added together are 90.

Step-by-step explanation:

Using the order of operations, what should be done first to evaluate 8²+10+(-5)(3)-5 ?
Subtract 5 from 3.
Divide 10 by -5.
Add 6 and 10.
Evaluate 6².

Answers

Answer:

number

Step-by-step explanation: by steps

△ A B C is similar to △ X Y Z . A B is 8 feet and B C is 11 feet while X Y is 4 feet. Then what length is Y Z ?

Answers

The corresponding sides of two triangles are proportionate if they are identical then the length of side ZX exists 10.5 units.

What is meant by right triangles?

If one of the triangle's angles is 90 degrees, the triangle is said to be right-angled. 90 degrees is the sum of the other two angles. Perpendicular and the triangle's base make up the sides that the right angle is formed from. The hypotenuse, or third side, is the longest of the three. It is also known as the hypotenuse.

Main body:

If two triangles are similar, then their corresponding sides are proportional.

Since , therefore

AB/X Y = BC/YZ = CA/ZX

substitute the values in the above equation, we get

2/7 = 4/14 = 3/N

2/7 = 2/7 = 3/N

2/7 = 3/N

On cross multiplication, we get

2 × N = 3 × 7

2N = 21

Divide both sides by 2

N = 21/2

N = 10.5

Therefore, the length of side ZX exists 10.5 units.

The complete question is:

In the figure below, ABC is similar to XYZ . What is the length of ZX ? Enter only the number as an integer or decimal. An image shows two similar right triangles, A B C and X Y Z. Triangle A B C is smaller than triangle X Y Z. In triangle A B C, side A B is 2, side B C is 4, and side C A is 3. In triangle X Y Z, side X Y is 7, side Y Z is 14, and side Z X is labeled N.

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Create at least 3 expressions equivalent to 5z.

Answers

The required expression that is equivalent to 5z  is √[5z]², [5z]²/5z, and 5z + 1 - 1.

Given that,
To create 3 expressions equivalent expression to 5z,

What is an algebraic expression?

The algebraic expression consists of constant and variable. eg x, y, z, etc.

Here,
The expression can be created by applying the mathematical operation to the parent expression such as by squaring, division and multiplication, and so on.
The equivalent expression is deduced as, √[5z]², [5z]²/5z, and 5z + 1 - 1.

Thus, The required expression that is equivalent to 5z  is √[5z]², [5z]²/5z, and 5z + 1 - 1.

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NEED HELP DUE TOMORROW!!

Answers

All the given triangles are congruent by SSS, SAS, and AAA rules.

What is congruence?

If two figures are exactly the same in sense of their length side all things then they will be congruent.

If it is possible to superimpose one geometric figure on the other so that their entire surface coincides, that geometric figure is said to be congruent or to be in the relation of congruence.

As per the given triangles,

In the first triangle, two sides are the same and the third side is the common side thus it will be congruent with the SSS rule.

The remaining triangles are also congruent similarly to SAS and AAA rules like this.

Hence "By the SSS, SAS, and AAA criteria, every triangle in the example is congruent.".

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The table below represents favorite ice cream of the freshman and sophomores at
Eastern High School.



What is the approximate probability that a student's favorite is oreo ice cream?

Answers

Answer: 43%,

Step-by-step explanation:

i did it in my search bar but its just 112 percent of 378 which is 43

What is the next number in this sequence ? 1,2,2, 4,8,3,2

Answers

The next number in the given sequence is 256

What is Fibonacci sequence?

Leonardo Pisano Bogollo, an Italian, was the first to discover the Fibonacci sequence (Fibonacci). The numbers in the Fibonacci sequence are all whole numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34,... Each phrase in this infinite sequence—which has 0 and 1 as its initial values—is the sum of the two terms before it. This pattern has been referred to as "nature's secret code."

Sunflowers, daisies, broccoli, cauliflower, seashells, and other spiral-shaped plants all display the Fibonacci sequence.

Observe that, the terms in the sequence are based on the 2 to the power of the Fibonacci series (0,1,1,2,3,5,8 …)

2^0=1

2^1=2

2^1=2

2^2=4

2^3=8

2^5=32

2^8=256

So, the next number in the given sequence is 256.

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Gavin put 243 brick in 9 rows he put the same number in each row. How many bricks did Gavin put in each row

Answers

Answer:

27

Step-by-step explanation:

243/9

27

243 divided by 9 = 27



Jennifer feeds her large dog 2 1/2cups food every day. She feeds her small dog 3/5of this amount. How much food does Jennifer feed her small dog every
day?

Answers

Amount small dog is fed is 3/5 of 2 1/2

to find 3/5 of 2.5

multiply

( 3 * 2.5 )/5

7.5/5 = 1.5

Hope this helps :)

If you need any more explanation, feel free to ask.  If this really helps, consider marking brainliest.

- Jeron

The average of two numbers is 13, and their product is 133. Use the quadratic formula to find the numbers. What is the value of the larger number?

Answers

The two numbers are 12 and 14 (using quadratic equation)

Let two numbers be a and b

given,

(a + b)/2 = 13 ⇒ a + b = 26 ⇒a = 26 - b→ eq 1

also,

ab = 133

using eq 1 in ab = 133 we get,

[tex]b^{2}[/tex] - 26b + 133 = 0

using quadratic formula,

[tex]\frac{-b+- \sqrt{b^{2}-4ac } }{2a}[/tex]

we get b = 38,14

if b = 38, a = -12, which doesn't satisfy the question

so, b = 14, a = 12

quadratic equation:

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:

ax² + bx + c = 0

where a, b, and c are numerical coefficients and x is an unknown variable. An example of a quadratic equation is x2 + 2x + 1. Here, an is greater than zero because if it equals zero, the equation will cease to be quadratic and change to a linear equation, such as:

bx+c=0

As a result, we cannot refer to this equation as a quadratic equation.

Another name for the terms a, b, and c is quadratic coefficients.

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Please help asap will give BRAINLIEST

Answers

the answer is 1 & 15/21

Kim is selling bags of mini churros at a school fair for $10 per bag. Complete the table to show the prices you would pay for different numbers of bags of churros.

Answers

1 Bag - 1*10 = $10
2 Bags - 2*10 = $20
5 Bags - 5*10 = $50

Answer:

10, 20, 5

Step-by-step explanation:

she's selling 1 bag for 10 dollars

The first row says 1 bag, that is 10 dollars so the answer is 10

The second row says 2 bags, so you just do 10 times 2. This is 20

The third row gives you the amount of money instead. Since they are 10 dollars each, 50 dollars means 5 bags of churros. I just did 50 divided by 10 to get 5 :)

3x + 2y = 7
x=3y +6

Answers

Answer:

[tex]x=3, y=-1[/tex]

Step-by-step explanation:

[tex]3(3y+6)+2y=7 \\ \\ 9y+18+2y=7 \\ \\ 11y+18=7 \\ \\ 11y=-11 \\ \\ y=-1 \\ \\ \\ x=3(-1)+6=3[/tex]

Jenny buys for her winery: 24 cans of milk at S/2.00 per can, 12 bottles of oil at S/.3.50 each bottle and 6 dozen packets of mayonnaise at S/. 1.50 each envelope. It is paid with two bills of one hundred nuevos soles. How much will you get back?

Answers

Answer: 15

Step-by-step explanation:

u can multiply by 2 and get 15

Watch help video
What are the roots of the equation 4x² + 17x + 19 = 0 in simplest a + bi form?

Answers

Answer:7

Step-by-step explanation:

please help me with this math problem i’ll give you brainlist

Answers

Answer:

b 25 i think

Step-by-step explanation:

BOOKS Eduardo is writing a historical novel. He wrote 16 pages today, bringing his total number of pages written to more than 50. How many pages p did Eduardo write before today? Complete the inequality that represents this situation. Then solve the inequality.

Answers

Answer:

p > 34

He wrote more than 34 pages before today.

Step-by-step explanation:

Eduardo wrote 16 more pages, increasing his total number of pages above 50.

p = pages he wrote before today

p + 16 > 50

p > 50 - 16

p > 34

He wrote more than 34 pages before today.

A slope of - 5/8 and a slope of 8/5 are
Perpendicular
Parallel
Neither

Answers

A slope of -5/8 and 8/5 are perpendicular.

Lines that are perpendicular have slopes that are opposite reciprocals of one another.

Hope this helps!

At which temperature did yeast cells produce the least amount of gas in 15 minutes?
[1]
_________°C

Answers

At 90 degree Celsius, yeast cells produce the least amount of gas in 15 minutes.

Given,

The graph shows the effect of temperature on Yeast Respiration

Change in volume of bread dough vs temperature of water bath bath is given in the graph.

We have to find the temperature at which the yeast cells produce the least amount of gas in 15 minutes;

Effect of Temperature on Yeast Respiration;

Yeast will produce more carbon dioxide at higher temperatures, which will result in more bubbles developing. The rate of respiration will decrease whenever the temperature rises above a particular level.

Here,

Compared to 10 degrees, 25 degrees, 50 degrees, and 75 degrees Celsius, the yeast cells produced the least quantity of gas in 15 minutes at 90 degrees.

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How do you translate algebraic expressions?

Answers

Answer:

could u give me an example? I need an example to explain.

Step-by-step explanation:

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