1078
AVMultiple Choice

Prescriptive Test

Question 1078 • English Language Arts 10 - Second Semester

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

Explanation

Ava’s function is h(x) = x² + 4, so it shifts the graph of f(x) = x² up 4 units. This makes A and C true. At x = 0, h(0) = 0² + 4 = 4, so Ava’s graph has a y-intercept of 4, making E true. Victor’s function shifts the graph 4 units left, not vertically or in a positive direction.

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