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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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)3
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)4
Which is the graph of f(x) = (x – 1)(x + 4)?
A
OptionB
OptionC
OptionD
Option5
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 < 6.6
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 > 37
Which is the graph of f(x) = –(x + 3)(x + 1)?
A
OptionB
OptionC
OptionD
Option8
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 < –4.9
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)10
What is the axis of symmetry of the function f(x)=−(x+9)(x−21)?
A
x=−15B
x=−6C
x=6D
x=15Did you find these answers helpful?
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