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

Calculator
1.) There are 200 total students in the 7th grade. 84 students
participate in only athletics. 56 students only participate in a music
class. The remaining students do not participate in music or athletics.
Find the percentage of each category. Round to the nearest whole
percent.
Athletics:
% Music:
% Neither:
%

Answers

Music 28%

Athletics 42%

Neither 30%

What is the correct answer?

Answers

Answer:

C please give brainest!

Step-by-step explanation:

HELP DUE IN 10 MINS! A cable that is 25 m long runs from the top of a utility pole to a point on the ground that is 20 m from the base of the pole. How tall is the pole? (Hint: Draw a picture)

The pole is
??
m tall.

Answers

Answer:

15 m

Step-by-step explanation:

x² + 20² = 25²x² + 400 = 625x² = 225x = √225x = 15

Please answer quickly

Answers

Answer:

1 1/2

Step-by-step explanation:

What is the equivalent numerical value of the expression 2−4×27

Answers

-106 is the answer!!!
What’s the answer to this please help mate n

Find the length of side a.

Answers

Answer:

C. 5

Step-by-step explanation:

Keeping in mind that this is a right triangle, to find the length of side a, we can use the Pythagorean Theorem.

Remember, the Pythagorean Theorem is:

a² + b² = c²

where a and b are the legs of the right triangle and c is the hypotenuse.

As we can see in the image, a is one of the two legs of the right triangle. 13 is the hypotenuse and 12 is another leg. Plugging into the Pythagorean Theorem, we get:

a² + 12² = 13²

Now we solve for a.

a² + 144 = 169

Subtract 144 from both sides.

a² = 169 - 144

a² = 25

Take the square root of both sides.

a = √25

a = 5

So the length of side a would be 5.

The answer would be C. 5.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer: C. 5

Step-by-step explanation:

We'll use the Pythagorean Theorem to find the missing side.

a^2 + b^2 = c^2

a^2 + 12^2 = 13^2

a^2 +  144 = 169

a^2 = 25

(simplify)

[tex]a^2 = \sqrt{25}[/tex]

a = 5

What is the value of the expression 8 − (7 − 4) + 12 x 2?
Question 4 options:

29

11

14

19

Answers

Answer:

this is the answer happy to help

Answer:

29

Step-by-step explanation:

[tex]8 - (7 - 4) + 12 \times 2 \\ 8 - 3 + 24 \\ 5 + 24 \\ 29[/tex]

I hope that is useful for you :)

I just need help trying to figure out what the answer is

Answers

Take the percentages that are shown in the graph to subtract from 100.

Write the ratios in simplest form
35
210​

Answers

Answer:

1:6.

Step-by-step explanation:

210/35 = 6

so the ratio 35:210 simplifies to 1:6.

Steve uses 14 blue beads and 6 green beads to make a bracelet. Which ratio compares the number of blue beads to the total numbers of beads in one bracelet?
A. 14:6
B. 6:14
C. 6:20
D. 14:20

Answers

There are 14 blue beads in total. If you use 14 blue needs and 6 green needs that is 14+ 6 which equals 20.

what number can go into 48 and 24

Answers

Answer:

1, 2, 3, 4, 6, 8, 12, 16

Step-by-step explanation:

just factor it

3·1·(5³ - 12²) - 254 =
dau oroana va roog√

Answers

Answer:

-311

Step-by-step explanation:

Answer:

- 311

Step-by-step explanation:

3 · 1 · (5³ - 12²) - 254

3 · 1 · (125 - 144) - 254

3 · 1 · (- 19) - 254

3 · (- 19) - 254

- 57 - 254

- 311

Which ordered pair is NOT a solution to the inequality in the graph?
A. (0,0)
B.(-2,-4)
C.(0,2)
D.(-3,4)

Answers

Given:

The inequality is

[tex]y\leq 3x+2[/tex]

To find:

The ordered pair that is NOT a solution to the inequality in the graph.

Solution:

We have,

[tex]y\leq 3x+2[/tex]

Checking the inequality for (0,0), we get

[tex]0\leq 3(0)+2[/tex]

[tex]0\leq 2[/tex]

So, the equality is true for (0,0). it means (0,0) is a solution of given inequality.

Checking the inequality for (-2,-4), we get

[tex]-4\leq 3(-2)+2[/tex]

[tex]-4\leq -6+2[/tex]

[tex]-4\leq -4[/tex]

So, the equality is true for (-2,-4). It means (-2,4) is a solution of given inequality.

Checking the inequality for (0,2), we get

[tex]2\leq 3(0)+2[/tex]

[tex]2\leq 2[/tex]

So, the equality is true for (0,2). It means (0,2) is a solution of given inequality.

Checking the inequality for (-3,4), we get

[tex]4\leq 3(-3)+2[/tex]

[tex]4\leq -9+2[/tex]

[tex]4\leq -7[/tex]

This statement is not true. So, the equality is false for (-3,4). It means (-3,4) is not a solution of given inequality.

Therefore, the correct option is D.

What would be the new exponent if you multiplied

10-2 x 105? Just write the number for the exponent.

Answers

Answer:

The number of the exponential is 3

Step-by-step explanation:

10^-2×10^5

According to the law when the base are equal you pick one then add the power when it is multiplication when it is division, you subtract the power

10^-2+5=10^3

Pls make answer as brainlist

Distributive property: distribute the _______ to the _________ by multiplying​

Answers

Answer:

number outside parenthesis to the numbers inside parenthesis

Step-by-step explanation:

example: 4(x+5)

4x+20

A quadrilateral has two angles that measure 290° and 20°. The other two angles are in a
ratio of 2:3. What are the measures of those two angles?

Answers

Answer:

Step-by-step explanation:

The remains two angles are 2x and 3x.

2x+3x = 360-290-20 = 50°

x= 10°

One angle is 20°. The last angle is 30°

Examine the pair of triangles given below. If EDC ~ KGH then the value of K is... (photo included)

Answers

Answer:

56°

Step-by-step explanation:

the question tells us the 2 triangles are similar, thus the angoes are identical on the 2 triangles. with this right triangle, you can see there is a long leg, short leg, and the hypotenuse. in order to solve this, you need to find the angle on the first triangle that corresponds to the second triangle. in this case, we can conclude angle K corresponds to angle E because the angles are adjacent to the long leg and hypotenuse, and opposite to the short leg.

Which scatterplot shows a linear association

Answers

Answer:

Scatterplot the most forms a diagonal line

5x10=50 add 10 5 times fjnlghfndhoenrjtorignfhpierjhipgjtrpihjtr

Answers

Answer:

ok

Step-by-step explanation:

Step-by-step explanation:

okay thanks......,......

c
D.
M=2 and P= (1,3)
which graph shows a line with siope that passes through point P A. A B. B C. C D. D

Answers

Where’s the graph to evaluate where the slope passes

30 points I need help asap

Answers

Answer:

Volume= 510 in^3

Step-by-step explanation:

Break it into pieces

4*17*5=340

4*7*5=140

3*4*1/2=6, *5=30

340+140+30=510

use the distributivity of multiplication of rational numbers over addition to simplify:
-3/8 * (4/7+[-11/7])
Plssi want with explanation

Answers

9514 1404 393

Answer:

  3/8

Step-by-step explanation:

The distributive property tells you the outside factor multiplies each term inside parentheses.

  a(b +c) = ab +ac

  (-3/8)(4/7 +(-11/7)) = (-3/8)(4/7) + (-3/8)(-11/7)

  = -12/56 +33/56 = 21/56 = 3/8

the area of a parallelogrem is 49 square meters the base of the parallelogram is 7 meters what is the height of the parallelogram​

Answers

Answer:

7

Step-by-step explanation:

brainalist plz

Answer:

height is 7 meters

Step-by-step explanation:

Joseph made 5% of his free throws over the season. If he shot 160 free throws, how many did he make?

i rly need help omagash

Answers

0.05 x 160 = 8
he made 8 free throws

Please help!!!!!! Someone give me the correct answer to this question.
I will mark you brainliest for the correct answer.

This is a big test.

Please help!!!!

Answers

Answer:

m < 1 = 85 Degrees and m < 2= 80 Degrees

What is the value of x?​

Answers

Answer:

the solution is 4sqrt(2)

3
Antonio's Pizza Shop charges
$12 for a large cheese pizza
plus $0.50 for each topping added.
Write an equation Antonio can use
to be able to determine the total (y)
for any large pizza no matter the
number of toppings ordered (x).

Answers

Answer:

C = 12 + 1.5t

Step-by-step explanation:

Answer:

$12 + x = y

Step-by-step explanation:

x = number of topping

y = total cost of pizza

Hope this helps :)

A farmer needs to plant 180 tomato plants. He can plant 9 plants every 15 minutes.



a) What percentage of the planting will be complete after 75 minutes?

It will be
% complete.



b) How many minutes will it take to finish 90% of the planting?

It will take ____ minutes.

Answers

Answer:

52.94%

270 minutes

Step-by-step explanation:

1. 9 plants - 15 minutes

x plants - 75 minutes

Cross multiply

15x = 75 x 9

15x = 675

Divide both sides by 15

x = 675/15

x = 45 plants

45/85 x 100

= 52.94%

2. 90% of 180

= 90/100 x 180

= 162 plants

9 plants - 15 minutes

162 plants - x minutes

Cross multiply

9x = 162 x 15

9x = 2430

Divide both sides by 9

x = 2430/9

x = 270 minutes or 4 hours 30 minutes.

Can yall help me with this
WILL GIVE BRAINLIEST

Answers

19 guests because each guest is $2 each according to the question.

Answer:

19 guests

Step-by-step explanation:

26 dollars = 13 guests

26/13 = 2

2*19 = 38

Final Answer: 19 guests

Hope this helps. :)

Select the correct answer from each drop-down menu. Consider the end behavior of the function g(x) = |x-2| - 3. As x approaches negative infinity, Rx) approaches As x approaches positive infinity, AX) approaches infinity. y infinity​

Answers

1 positive 2 is negative

The solution is: As x approaches negative infinity, f(x) approaches

Positive; Negative.

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

According to the question, the following information is given

G(x) = |x - 2| - 3

Based on the above information

As it can be seen that there is a modulus that means if there is any negative value that it can become a positive value.

Therefore the answer is positive and negative.

hence, The solution is: As x approaches negative infinity, f(x) approaches

Positive; Negative.

To learn more on function click:

brainly.com/question/21145944

#SPJ7

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