Answers26MATH_Recovery_Alg1B22Quadratic Functions: Factored Form

Quadratic Functions: Factored Form Answers

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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.
2
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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.
3

What is the axis of symmetry of the function f(x)=−(x+9)(x−21)?

A
x=−15
B
x=−6
C
x=6
D
x=15
4

Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x – 3)?

A
(0,6)
B
(0,–6)
C
(6,0)
D
(–6,0)
5

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

Question illustration
A
all real values of x where x < −1
B
all real values of x where x < 1
C
all real values of x where 1 < x < 3
D
all real values of x where x > 3
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
7

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.
8

What is the midpoint of the x-intercepts off(x) = (x – 2)(x – 4)?

A
(–3,0)
B
(–1,0)
C
(1,0)
D
(3,0)
9

What is the y-intercept of the quadratic functionf(x) = (x – 6)(x – 2)?

A
(0,–6)
B
(0,12)
C
(–8,0)
D
(2,0)
10

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

Question illustration
A
The domain is all real numbers, and the range is all real numbers greater than or equal to –4.
B
The domain is all real numbers greater than or equal to –4, and the range is all real numbers.
C
The domain is all real numbers such that –6 ≤ x ≤ –2, and the range is all real numbers greater than or equal to –4.
D
The domain is all real numbers greater than or equal to –4, and the range is all real numbers such that –6 ≤ x ≤ –2.

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