Mathematics High School

What is the equation of the graph below?
А
y = 2(x + 4)2 – 2
B
y = (x – 4)2 – 2
C y = 2(x - 4)2 – 2
D
y = 2(x – 4)2 + 4

What Is The Equation Of The Graph Below?y = 2(x + 4)2 2By = (x 4)2 2C Y = 2(x - 4)2 2Dy = 2(x 4)2 + 4

Answers

Answer 1

Answer:

f(x) = 1(x - 4)^2 - 2

Step-by-step explanation:

Recall that the vertex form of the equation of a parabola is

f(x) = a(x - h)^2 + k, where (h, k) is the vertex and a is a scale factor which stretches or compresses the graph vertically.

Looking carefully at the graph, we see that h must be 4 and k must be -2.

Thus, the equation of this parabola is f(x) = 1(x - 4)^2 - 2 (which matches Answer B)

Related Questions

PLEASE PLEASE HELP ME

Answers

Answer:

b

Step-by-step explanation:

9514 1404 393

Answer:

  (B)

Step-by-step explanation:

x is on the left side of the < symbol, so the shaded portion of the line will be on the left side of the boundary dot.

The boundary dot is plotted at the constant, which is 1/2 = 2/4. That plot is shown in selection B.

_____

Additional comment

I like to write inequality solutions using the < or ≤ symbols because the relative positions of numbers and variables match their relative positions on the number line. In this problem, we have x < 1/2, so the shaded portion of the line is on the left of the boundary dot, just as x is on the left of 1/2 in the inequality.


What must be true about the coordinates of any point that lies in the third quadrant?

Answers

Answer:

(-, -)

Step-by-step explanation:

The x value is negative and the y value is also negative

URGENT HELP (picture says everything you need to know)

Answers

Answer:

I believe the quiz had 18 questions, with a 14:4 ratio

What's 64/4 in the simplest form

Answers

Answer:

16

Step-by-step explanation:

64 divided by 4 is equal to 16.

64 can be divided by 4 perfectly, so 16

y= 5x + 13
and
y= x + 45

Answers

Answer:

x=8 and y=53

Step-by-step explanation:

Given function:

y=5x+13y=x+45

Find x:

the two equation, the x and are breaked apart..so find a number that they can both equal to together and has the same y. multiply by 8..[tex]5[/tex]·[tex]8=40[/tex] combine the terms for x and 13[tex]40+13=53[/tex] since x is 8 then if we add 8 with 45 it should be 53...[tex]8+45=53[/tex]

y is:

this means that y=53.

Therefore, x=8 and y=53..

How many liters of water vapor can be made from 34.0 grams of oxygen gas and excess amount of hydrogen gas at STP?
​

Answers

8.2 L is the correct answer

II
Initial Knowledge Check
A circle has a diameter of 32 mm. What is its circumference?
Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.
2
וחו
כוחו
mm
32 mm
х
5
Marking Brainlyest

Answers

Answer:

C=3.14*32=100.48mm

Step-by-step explanation:

Answer:

100.48

Step-by-step explanation:

[tex]C=\pi D[/tex]

So,

C=3.14*32=100.48

URGENT HELP !!!!!! answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!

Answers

Answer:

(-2, -6)

Step-by-step explanation:

Slope: 1

Please write a persuasive essay on why parents are more important than peers.​

Answers

Some points you could make are:
Disclaimers: some of these points count if everyone has good parents
Parents always have their child’s best interest in mind (not always but for this scenario well imagine)
Parents can help counteract peer pressure
Parents will always be there for their child
Parents influence a child’s values

What is the Mean Absolute Deviation of the data set below? 12, 1, 6, 10, 1, 2, 3, 10, 3, 8, 3, 9, 8, 6, 8

Answers

Answer:

Mean Absolute Deviation (MAD): 3.0666666666667

Step-by-step explanation:

Ik it’s a lot and srry but can somebody answer 15,16 and 17?

Answers

Answer:

16. x = 16

17. x = 11

Step-by-step explanation

15.

a. 58* Angle 2 = Angle 4 Angle 1 + Angle 2 = 180*

b. 58* Angle 3 + Angle 4 = 180*

c. 58* Angle 1 = Angle 6

d. 58* Angle 6 = Angle 8

e. 122* Angle 4 = Angle 2

f. 122* Angle 4 = Angle 5

g. 122* Angle 5 = Angle 7

16. Alternate Interior angles. They're equal.

10x - 29 = 8x + 3

2x = 32

Divide by 2 to isolate x

x = 16

double check by putting 16 in for x to see if original statement is true

10 (16) - 29 = 8 (16) + 3

160 - 29 = 128 +3

131 = 131

17. Consecutive interior angles. They equal 180*

13x - 26 + 5x + 8 = 180

18x - 18 = 180

18x = 198

Divide by 18 to isolate x

x = 11

Double check

13 (11) - 26 + 5 (11) + 8 = 180

143 - 26 + 55 + 8 = 180

180 = 180

The path of an athlete's long jump is modeled by a function h(d)=−14d2+d, where d and h denote the distance and the height in meters respectively. The graph of h(d) is given by

Answers

Answer:9ft

Step-by-step explanation:

What the answer to this question 8 (x+5)

Answers

The answer is 40x because I thought of it

The graph H shows the height, in meters, of a
rocket 1 seconds after it was launched.
a. Find H0). What does this value
represent?
b. Describe the domain of this function.
c. Describe the range of this function.

Answers

Answer:

a) H0 = 15 m, is the initial height, the height of the rocket at time 0 s.

b) [tex]D=[0,5][/tex]

c) [tex]R=[0,35][/tex]    

Step-by-step explanation:

a) H0 is the initial height. It means the height of the rocket at time 0 s.

This value is 15 m.

b) The domain is all values of t between 0 and 5 seconds.

[tex]D=[0,5][/tex]

c) The range is all values of height from 0 to 35 meters.

[tex]R=[0,35][/tex]      

I hope it helps you!

a. Convert 39/7 to a mixed number
b. Covert 56/123 to a decimal.
Give your answer to 2 decimal places

Please help me asap

Answers

The answer to this question is A). 39 b). 56

Hey can anyone please help me with these t questions asap?

Answers

Answer:

21) 27

22) 2 (the third one has a few people in it)

Step-by-step explanation:

9 dozen= 12 to a dozen

108

=27

Answer:

21. 27 22. 6

Step-by-step explanation:

21 is 27 because 9 times a dozen (12) times equals 108.  !08 splited by 4 is 27.  

For 22 112-70 is 42.  There are 7 seats per row so 42/7= is 6 empty rows.


Find the value of x in the following figure



Answers

Answer:

8

Step-by-step explanation:

4(2x-1)=36
How do I answer this

Answers

X = 5; 2(5) - 1 = 9. 4(9) = 36

Answer:

x=5

Step-by-step explanation:

4(2x-1)=36

first distribute

8x-4=36

add 4 to both sides

8x=40

divide both sides by 8

x=5

I give free brainlest :D

Answers

Answer:

Yes plz!

Step-by-step explanation:

Answer:

yeah sure i'll take some

Step-by-step explanation:

someone help me again please !
solve for y.
-9y = -36

Answers

Answer:

y=4

Step-by-step explanation:

Answer:

y=4

Step-by-step explanation:

-9y = -36

y = -36/-9

y=4

Dino finds the line-of-best fit for the data set shown. What is the equation of Dino's line-of-best fit?

Answers

Answer:

y = 2.0x + 0.6

Step-by-step explanation:

Dino's data:

X _____ Y

1 ______ 1

2 ______5

3 ______6

4 _____ 10

5 _____ 13

6 _____ 13

7 _____ 14

8 _____ 16

9 _____ 18

10 _____21

Using the linear regression calculator, the line of best fit for the data is :

y = 2.0X + 0.6

Where ;

Slope = 2 ; intercept = 0.6

need help!! don't know what I'm doing

Answers

I got 19657 because you would do
2x10000 - 343
20000 - 343
=19657

Solve for "x": 2x + 7 − 5x + 8 = 3(5 + 6x) − 12x

Answers

Answer:

0

Step-by-step explanation:

Answer question from the images below Ig..

Answers

Answer:

AC, CB

Step-by-step explanation:

A segment needs two endpoints. The third answer is the only one that can contain two segments, other answers contain single points.

Given 4y2 + x – 32y + 68 > 0, which ordered pair is part of the solution set? (–3, 5.7) (–5.9, 4) (–8, 5) (–13, 3)

Answers

Answer:

A. (-3, 5.7)

Step-by-step explanation:

Inequalities help us to compare two unequal expressions. The ordered pair that satisfies the given inequality is (–3, 5.7).

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

The ordered pair that satisfies the given inequality is the solution set of the inequalities, the inequality can be written as,

[tex]4y^2+x-32y+68 > 0\\\\4y^2-32y+68 > -x[/tex]

Now, let's substitute the value of the first ordered pair, (–3, 5.7),

[tex]4(5.7)^2-32(5.7)+68 > -(-3)\\\\129.96-178.24+68 > 9\\\\19.72 > 9[/tex]

Since the inequality is satisfied the ordered pair is a set of solutions.

For the second ordered pair (-5.9,4),

[tex]4y^2-32y+68 > -x\\\\4(4)^2-32(4)+68 > -(-5.9)\\\\64-128+68 > 5.9\\\\4 > 5.9[/tex]

Since inequality is not true it is not the solution to the problem.

For the third ordered pair (-8, 5),

[tex]4y^2-32y+68 > -x\\\\4(5)^2-32(5)+68 > -(-8)\\\\64-128+68 > 8\\\\8 > 8[/tex]

Since inequality is not true it is not the solution to the problem.

For the fourth ordered pair (-13, 3),

[tex]4y^2-32y+68 > -x\\\\4(3)^2-32(3)+68 > -(-13)\\\\64-128+68 > 13\\\\8 > 13[/tex]

Since inequality is not true it is not the solution to the problem.

Learn more about Inequality:

https://brainly.com/question/19491153

Trisha has $22.50 to spend at the movies. Her ticket is $11.50 , and she gets a large popcorn and soda . If the popcorn and soda each cost the same amount and she spends all her money, how much was the popcorn?

Answers

Answer:$5.50

Step-by-step explanation:

22.50 -11.50= 11

soda and popcorn (2 items)

11/2= 5.50

When you multiply 2 decimals, how do you know where to place the comma in the product?

Answers

Answer:

you mean the decimal point?

Step-by-step explanation:

You will know when you cross the decimal point when multiplying.

Answer: it would just be like putting a comma normally, just all you have to do is get your new number but then just add both the comma and decimal it shouldn’t effect on where its put! If that’s what your asking!

Step-by-step explanation:

A chemist measures the boiling point of a sample of benzene as 79.8 degrees Celsius. The actual boiling point is 80.1 degree Celsius. Round to the nearest hundredth of a percent, what is the percent error in the boiling point for the sample? Put the % sing after your numbers and do not put spaces in your answer.

Answers

Answer:

-0.375%

Step-by-step explanation:

Here, we want to calculate the percentage error

Mathematically;

% error = error/true value * 100%

error= the difference between the true value and the calculated

That is;

79.8-80.1 = -0.3

% error = -0.3/80.1 * 100%

% error = -0.375%

what is the answer to this equation : 1 = 4 + X

Answers

Answer: x is -3

Step-by-step explanation: if 1 is equal to 4, 4 has to be decreased down to 1 so -3 plus positive 4 is 1 so 1=1

The power, P (watts) , of a car engine is proportional to the square of its speed, s ( m / s ) . When s = 30 , P = 1260 . Work out the power when the speed is 25 m / s

Answers

Answer:

875 Watts

Step-by-step explanation:

Given that :

P α s²

P = ks²

Where k is the proportionality constant

When ; p = 1260 ; s = 30

1260 = k * 30²

1260 = 900k

k = 1260 / 900

k = 1.4

Value of p ; when s = 25

P = 1.4 * s²

P = 1.4 * 25²

P = 1.4 * 625

P = 875 watt

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