Answers26MATH_Recovery_Alg1B22Quadratic Functions: Factored Form

Quadratic Functions: Factored Form Answers

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1
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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)
2
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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)
3

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

A
Option
B
Option
C
Option
D
Option
4

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)
5

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
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

What is the y-intercept of the quadratic functionf(x) = (x – 8)(x + 3)?

A
(8,0)
B
(0,3)
C
(0,–24)
D
(–5,0)
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.
11

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)
12

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.
13

Which is the graph of f(x) = (x – 1)(x + 4)?

A
Option
B
Option
C
Option
D
Option

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