AnswersAlgebra III AQuadratic Functions: Factored Form

Quadratic Functions: Factored Form Answers

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3

Which is the graph of f(x) = –(x + 3)(x + 1)?

A
Option
B
Option
C
Option
D
Option
6

The function f(x) = (x − 4)(x − 2) is shown.

Question illustration
A
all real numbers less than or equal to 3
B
all real numbers less than or equal to −1
C
all real numbers greater than or equal to 3
D
all real numbers greater than or equal to −1
8

What is the equation of the quadratic function with a vertex at (2,–25) and an x-intercept at (7,0)?

A
f(x) = (x – 2)(x – 7)
B
f(x) = (x + 2)(x + 7)
C
f(x) = (x – 3)(x + 7)
D
f(x) = (x + 3)(x – 7)
9

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

Question illustration
A
The function is positive for all real values of x wherex > –4.
B
The function is negative for all real values of x where–6 < x < –2.
C
The function is positive for all real values of x wherex –3.
D
The function is negative for all real values of x wherex < –2.
10

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.

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