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? check all that apply.

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.
victor’s graph has a y-intercept of 4.

Answers:

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.

Given:

Ava graphs the function .

Victor graphs the function

To find y intercept we plug in 0 for x

= 4

So ,Ava’s graph has a y-intercept of 4.

Ava graphs the function

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

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

step-by-step explanation:

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