Quadratic Functions: Factored Form Answers
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The function f(x) = (x − 4)(x − 2) is shown.
A
all real numbers less than or equal to 3B
all real numbers less than or equal to −1C
all real numbers greater than or equal to 3D
all real numbers greater than or equal to −12
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The graph of the function f(x) = (x + 2)(x + 6) is shown below.
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
The graph of the function f(x) = –(x + 3)(x – 1) is shown below.
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
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)5
The graph of the function f(x) = –(x + 6)(x + 2) is shown below.
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 < –4.6
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)7
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)8
The graph of the function f(x) = (x – 4)(x + 1) is shown below.
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 < 1.5.9
Which function has a vertex at the origin?
A
f(x) = (x + 4)2B
f(x) = x(x – 4)C
f(x) = (x – 4)(x + 4)D
f(x) = –x210
The graph of the function f(x) = (x − 3)(x + 1) is shown.
A
all real values of x where x < −1B
all real values of x where x < 1C
all real values of x where 1 < x < 3D
all real values of x where x > 3Did you find these answers helpful?
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