AnswersAlgebra III AQuadratic Functions: Factored Form

Quadratic Functions: Factored Form Answers

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The graph of the function f(x) = –(x + 3)(x – 1) is shown below.

Question illustration
A
The function is positive for all real values of x wherex < –1.
B
The function is negative for all real values of x where x 1.
C
The function is positive for all real values of x wherex > 0.
D
The function is negative for all real values of x wherex –1.
4

The graph of the function f(x) = (x – 4)(x + 1) is shown below.

Question illustration
A
The function is increasing for all real values of x wherex < 0.
B
The function is increasing for all real values of x wherex 4.
C
The function is decreasing for all real values of x where–1 < x < 4.
D
The function is decreasing for all real values of x wherex < 1.5.
6

The graph of the function f(x) = –(x + 6)(x + 2) is shown below.

Question illustration
A
The function is increasing for all real values of x where x < –4.
B
The function is increasing for all real values of x where–6 < x < –2.
C
The function is decreasing for all real values of x where x –2.
D
The function is decreasing for all real values of x wherex < –4.
10

Which function has a vertex at the origin?

A
f(x) = (x + 4)2
B
f(x) = x(x – 4)
C
f(x) = (x – 4)(x + 4)
D
f(x) = –x2

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