5
QuizMultiple Choice

Quadratic Functions: Vertex Form — Quiz

Question 5 • Algebra I

The graph of which function is decreasing over the interval open paren negative 4 comma infinity close paren ?

Answer
A
f of x is equal to negative x plus 4 squared plus 4
B
f of x is equal to x plus 4 squared plus 4
C
f of x is equal to x minus 4 squared negative 4
D
f of x is equal to negative x negative 4 squared minus 4

Explanation

A downward-opening parabola decreases to the right of its vertex. Choice D, f(x) = −(x + 4)² + 4, has its vertex at x = −4 and opens downward, so it is decreasing for every x greater than −4. Choice B also opens downward, but its vertex is at x = 4, so it increases between −4 and 4.

AI-written and checked against the verified answer.

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