AnswersFL-1200710-Mathematics for College Algebra AQuadratic Functions: Factored Form

Quadratic Functions: Factored Form Answers

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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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Which statements about the function are true? Select two options.

A
The vertex of the function is at (1,–25).
B
The vertex of the function is at (1,–24).
C
The graph is increasing only on the interval −4< x < 6.
D
The graph is positive only on one interval, where x < –4.
E
The graph is negative on the entire interval–4 < x < 6.
3

Which function has two x-intercepts, one at (0, 0) and one at (4, 0)?

A
f(x) = x(x − 4)
B
f(x) = x(x + 4)
C
f(x) = (x − 4)(x − 4)
D
f(x) = (x + 4)(x + 4)
4

Which function has only one x-intercept at (−6, 0)?

A
f(x) = x(x − 6)
B
f(x) = (x − 6)(x − 6)
C
f(x) = (x + 6)(x − 6)
D
f(x) = (x + 6)(x + 6)
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 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.
7

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)
8

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.
9

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)
10

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

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