Question

Ava graphs the function h(x) = x2 + 4. Victor graphs the function g(x) = (x + 4)2. Which statements are true regarding the two graphs? Select three options.

Ava’s graph is a vertical translation of f(x) = x2.
Victor’s graph is a vertical translation of f(x) = x2.
Ava’s graph moved 4 units from f(x) = x2 in a positive direction.
Victor’s graph moved 4 units from f(x) = x2 in a positive direction.
Ava’s graph has a y-intercept of 4.

Answer 1

Answer:

Step-by-step explanation:

A: true. Her graph goes 4 units up.

B: False. His graph goes 4 units to the left. Be sure you check this answer out.

C: True. It moved from (0,0) to (0,4)

D: Victor's graph move left in the minus direction. False.

E. True. See C.

Answer 2

The correct statements are true regarding the two graphs are as follows;

Ava’s graph is a vertical translation of f(x) = x^2.

Ava’s graph moved 4 units from f(x) = x^2 in a positive direction.

Ava’s graph has a y-intercept of 4.

What is the function?

A function relates an input to an output. It is like a machine that has an input and an output. And the output is related somehow to the input.

Ava graphs the function h(x) = x^2 + 4.

Victor graphs the function g(x) = (x + 4)^2.

To find the y-intercept we plug in 0 for x;

$\rm h(x) = x^2 + 4\\\\h(0)=(0)^2+4\\\\h(0)=4$

Ava’s graph has a y-intercept of 4.

Ava graphs the function h(x) = x^2 + 4.

If any number is added at the end then the graph will be shifted up. 4 is added at the end so there will be vertical translation.

Hence , Ava’s graph is a vertical translation of f(x) = x^2.

Also Ava moved 4 units up from f(x) = x^2 in a positive y- direction.

Victor graphs the function g(x) = (x + 4)^2.

If any number is added with x then the graph will be shifted left. the graph will be shifted in the negative x-direction.

Learn more about function here;

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