7
QuizMultiple Choice

Quadratic Functions: Vertex Form

Question 7 • WV-Algebra I CR

Which function has a range of {y|y ≤ 5}?

Answer
A
f(x) = (x – 4)2 + 5
B
f(x) = –(x – 4)2 + 5
C
f(x) = (x – 5)2 + 4
D
f(x) = –(x – 5)2 + 4

Explanation

A squared term is always nonnegative. In choice B, the negative sign makes the parabola open downward, and its vertex is at (4, 5), the highest point. Therefore its outputs are all values less than or equal to 5, so its range is {y | y ≤ 5}.

AI-written and checked against the verified answer.

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