5
QuizMultiple Choice

Transformations of Quadratic Functions — Unit test

Question 5 • FL-1200330-Algebra 2 CR

Which equation has a graph that lies entirely above the x-axis?

Answer
A
y = –(x + 7)2 + 7
B
y = (x – 7)2 – 7
C
y = (x – 7)2 + 7
D
y = (x – 7)2

Explanation

A squared expression is always nonnegative, so in choice C, (x − 7)² ≥ 0. Adding 7 means y is always at least 7, so the graph stays entirely above the x-axis. Choice D reaches y = 0, so its graph touches the x-axis rather than lying entirely above it.

AI-written and checked against the verified answer.

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