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4 years ago

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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 g

raphs? 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.

2 answers:

KATRIN_1 [288]4 years ago

8 0

Answer: 1, 3, 5

Step-by-step explanation:

Firlakuza [10]4 years ago

7 0

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.

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