4. The graph of h(x) = x^2 was transformed to create the graph of k(x) = -4x^2? Which of these describes the transformation from the graph of h to the graph
of k? A.) A reflection over the x-axis and a vertical
stretch
B.) A reflection over the x-axis and a vertical
compression
C.) A reflection over the y-axis and a vertical
compression
D.) A reflection over the y-axis and a vertical stretch

Answers

Answer 1

Answer:

A. A reflection over the x-axis and a vertical stretch.

Step-by-step explanation:

Let [tex]h(x) = x^{2}[/tex], to obtain [tex]k(x) = -4\cdot x^{2}[/tex], we need to use the following two operations:

(i) Vertical stretch

[tex]g(x) = k\cdot f(x)[/tex], [tex]k\in \mathbb{R}^{+}[/tex]

(ii) Reflection over the x-axis

[tex]g(x) = -f(x)[/tex]

Let prove both transformations in [tex]h(x)[/tex]:

Step 1 - Vertical stretch ([tex]k = 4[/tex])

[tex]h'(x) = 4\cdot x^{2}[/tex]

Step 2 - Reflection over the x-axis

[tex]k(x) = -4\cdot x^{2}[/tex]

Hence, correct answer is A.


Related Questions

1/3 of 18 helpp please

Answers

Answer:

6

Step-by-step explanation:

the answer to 1/3 of 18 is 6.

Given the vertex form of a parabola​

Answers

It’s C. You’re welcome

The graphs below have the same shape. What is the equation of the blue
graph?
5
f(x) = x
W
Na
g(x) = 2
g(x) = -
O A. g(x) = (x - 4)2 + 1
O B. g(x) = (x+4)2 - 1
O c. g(x) = (x - 4)2 - 1
O D. g(x) = (x+4)2 + 1

Answers

Answer:

If the attached graph is the one you mean, the answer is g(x) = (x-4)^2 + 1

The equation of the blue graph is,

⇒ g (x) = (x - 4)² + 1

Given that;

The given function is,

⇒ f (x) = x²

Since, It is given that both graph has same shape it means the equation of blue graph is in the form of;

⇒ g (x) = (x - h)² + k

Where, (h,k) is the vertex of the parabola.

Hence, From the given graph it is noticed that vertex of blue parabola is (4,1),

Therefore, the equation of parabola is,

⇒  g (x) = (x - 4)² + 1

Thus, The equation of the blue graph is,

⇒ g (x) = (x - 4)² + 1

Learn more about the function visit:

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Answers

Answer:

Its c have a nice day! <3

Step-by-step explanation:

Giving brainliest and max rating.

Answers

Answer:

5+-2

Step-by-step explanation:

it

Simplify this expressions 5x -7 + 3x + 10

Answers

Answer:

8x + 3

Step-by-step explanation:

=5x+−7+3x+10

=(5x+3x)+(−7+10)

=8x+3

Darrens garden is 4 4/6 feet long. Zanique’s garden is 2 1/3 shorter. Find the length of Zanique’s garden.

Answers

4 - 2 = 2

If you take 3 and add 3, you get 6, and if you take 1 and add 1 you get 2, so 2/6.

4/6 - 2/6 = 0.33333333333

So I'd say about 2.3333333333 is the length of Zanique's garden, in a fraction... um... 233333333333/10000000000

That's all I could come up with. Don't judge me

PLEASE HELP WILL GIVE BRAINLIEST TO THE CORRECT ANSWER!! Which of the following could be factored by grouping?
a: ab+ad-ac+ae
b: ac+ad+bc-bd
c: ac+ad+bc+bd
d ab+cd-ab+cd

Answers

Answer:

B

Step-by-step explanation:

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Factoring ac + ad + bc + bd by grouping gives (a + b)(c + d)

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Factorization by grouping means grouping the terms with common factors before factoring.

Given the equation:

ac + ad + bc + bd

Factorizing by grouping:

= a(c + d) + b(c + d)

= (a + b)(c + d)

Factoring ac + ad + bc + bd by grouping gives (a + b)(c + d)

Find out more on equation at: https://brainly.com/question/2972832

Can any one help me 11 points no lnks pls. Just help with any of these

Answers

Answer:

5. m<1 = 114 degrees

   m<2 = 66 degrees

6. 2x + 3x + 4x = 9x = 180, x = 20

7. 3

8. 1/3

Hope that helps!

-scsb

Step-by-step explanation:

Answer:

66

20

3

1/3

Step-by-step explanation: Can I get brainliest? Thanks!

5. m∠2 = 180-59-55 = 66

m∠1 = 180-66 = 114

6. 2x+3x+4x=180

x(2+3+4)=180

x(9)=180

x=180/9=20

Plug back in to check:

2(20)+3(20)+4(20)=40+60+80=180

7. (3,8) to (9,24)

(9,24)/(3,8) = (3,3) so scale factor = 3

8. (12,15) to (4,5)

(4,5)/(12,15) = (1/3,1/3) so scale factor = 1/3

2/5p-3.11=1.13
what is p

Answers

2p-4+16=5p-9

-3p-4+16=-9

-3p-4=16+-9

And if you can solve from there cuz that's a lot of mental math for me. if u see these:() always distribute whatever is before it.

Did this help?

3(4x+6)=-4

What property did you use to solve this problem?

Answers

Answer:

The distributive property

Step-by-step explanation:

You have to distribute the 3 to the parenthesis so it is the distributibe property.

What is the solution to the equation?

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt[3]{x+4}+\sqrt[3]{2x +8}=0\\\\\sqrt[3]{x+4}= -\sqrt[3]{2x + 8}\\\\(x +4)^{\frac{1}{3}}=-(2x+8)^{\frac{1}{3}}\\\\[/tex]

Take cube,

[tex][(x+4)^{\frac{1}{3}}]^{3} =- [(2x +8)^{\frac{1}{3}}^{3}]\\\\(x+4)^{3*\frac{1}{3}}=-(2x + 8)^{3*\frac{1}{3}}\\\\[/tex]

x + 4 = - (2x + 8)

x +4 = 2x *(-1) + 8 *(-1)

x+ 4 = -2x - 8

x +2x+4 = - 8

3x + 4 = - 8

      3x = - 8 -4

      3x = -12

        x = -12/3

x = -4

$120 for mowing 4 lawns =$_ per lawn

Answers

all you have to do here is divide how much money she made versus how many lawns they mowed.

120/4= 30

this means they made $30 per lawn

19. If 4 + 2(3x - 4) = 8, then 4x -4 =
4
8
6
2

Answers

Answer:

4

Step-by-step explanation:

First, solve for x:

4 + 2(3x - 4) = 8

4 + 6x - 8 = 8

6x = 12

x = 2

Now, plug x into 4x - 4:

4(2) - 4 => 8 - 4 = 4

it's has to be 4 my friend did it and she said she got it right hope this helps

I NEED HELP !!!!!
Isabella opened a savings account and deposited $25,000.00. The account earns 20% interest, compounded annually. If she wants to use the money to buy a new car in 2 years, how much will she be able to spend on the car?

Answers

In 2 years, she will be able to spend $36,000 on a new car.

Answer:

$11,000

Step-by-step explanation:

1st year the account earned 20% from $25,000 = $5,000 | total = $30,000

2nd year the account earned 20% from $30,000 = $6,000

by adding the earnings of 2 years, she will be able to spend $5,000 + $6,000 = $11,000

Find the missing side of this right
triangle.

Answers

Answer: I believe it’s 15

Step-by-step explanation:

What's the value of
[tex] = > 12 \times 5 + 45 - 36[/tex]

Answers

Answer:

12×5+45-36=60+9=69 is your answer

Answer:

12×5=60+45=105-36=69

what is the slope?
please hurry!
y=-x - 3

Answers

Answer:

Step-by-step explanation:

slope =  

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y + 3 = (x - 2) is in this form

with slope m =

Answer:

-x is the slope

Step-by-step explanation:

Please help !!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:A-false B-false C-true D-true E-false

Step-by-step explanation:

if im wrong pls tell me :)

Someone help and please make sure the answer is right :)

Answers

I got x= -7. hope that helps you out!

Can someone plz correct me I got that wrong plz I beg u

Answers

Answer:

2400

Step-by-step explanation:

Find h. 11 in. h = [?] in. 1 1 1 14 in. Enter​

Answers

Answer:

You know that the Pythagorean Theorem is:

a²+b²=c²

,

Where:

a

is the length of one of the legs,

b

is the length of the other leg, and

c

is the length of the hypotenuse.

You know the lengths of the two legs are

7 and 11

, so we'll say that

a is 7 , and b is 11

Knowing that, we can plug those into our equation and simplify like so:

7²+11²=c²

49+121=c²

170=c²

√170=c

c=13.0384

Answer:

√72

Step-by-step explanation:

Use Pythagorean:

h² + (14/2)² = 11²h² + 49 = 121h² = 121 - 49h² = 72h = √72 in

Simplify (8.3) 2.10.(6-1)​

Answers

Answer:

[tex]8 .3 \times 2.10.5[/tex]

Step-by-step explanation:

Simplify 6 - 1 to 5.

[tex]8.3 \times 2.10 .5[/tex]

Therefor, the answer is 8.3 × 2.10.5

identity the vertex, focus, and directrix

Answers

Answer:

vertex: (0, 0)

focus: (-7, 0)

directrix: x=7

Step-by-step explanation:

divide both sides by (-1/28) and you will get y^2=-28x-28=-4p ----> p=7focus=(-p, 0) ------> (-7, 0)directrix=x=p  ---------> x=7

WILL MARK!!

Select the correct answer.
Which function does this graph represent?

Answers

Answer:

I believe the answer is C

Step-by-step explanation:

Multiply (9x + 2) (2x - 3). What is the product?

Answers

Answer:

18x^2-23x-6

Step-by-step explanation:

multiply: 9x*2x-9x*3+2*2x-2*3

18x^2-9X(3)3+2(2X)-2(3)

18X^2-27x+4x-6

18x^2-23x-6

• How much do customers have to spend in order to raise $1,000 for the pet rescue program? Amount Spent (dollars) 120 Amount Donated (dollars) 1000

Answers

Complete question :

a pet store had a special offer this weekend. for every $120 that customers spend, $3 is donated to a pet rescue program. How much do customers have to spend in order to raise $1000 for the pet rescue program?

Answer:

$40000

Step-by-step explanation:

Offer :

For every $120 spent ; $3 is donated

In other to raise $1000 ; $x would have to be spent ; we can obtain the value of x using cross multiplication ;

$120 = $3

$x = $1000

Cross multiply

$(120 * 1000) = $3 * x

$120000 = $3x

x = 120000 / 3

x = 40,000

Hence, in other to raise $1000 ; $40000 would have to be spent by customers.

Help asap I have to get my work done soon or I will be up all night.
7mp(m + p + x + 2mp)

Answers

Answer:

=14m^2p^2+7m^2p+7mp^2+7mpx


Find the solution of the system of equations.
4x – 5y = 46
-4x – 4y = 8​

Answers

Answer:

(4,-6) or x=4 and y= -6

Step-by-step explanation:

Answer:

x = 4 ; y= -6

Step-by-step explanation:

-9y = 54

y = -6

4x +30 = 46

4x = 16

x = 4

Rick bought a car for $17,500. Each year, the car's value decreases by 20%. At this rate, what can Rick expect the value of his car to be in 6 years? *
$1.12
$15,502.24
$4,587.52
$17,380.00

Answers

Answer:

His car would be worth $15,502.24

Step-by-step explanation:

20% of 17,500 is 350. 350 x 6 = 2,100. 17,500 - 2,100 = 15,400. But that is not an answer choice so be go to  the closest number which is $15,502.24

Other Questions
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