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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.

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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 \(h(x) = x^2 + 4\).

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

To find y intercept we plug in 0 for x

\(h(x) = x^2 + 4\)

\(h(x) = 0 + 4\)= 4

So ,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 added with x then the graph will be shifted left. the graph will be shifted in negative x direction.

Answer: 1, 3, 5

Step-by-step explanation:

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