Answers Algebra III AQuadratic Functions: Factored Form

Quadratic Functions: Factored Form Answers

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

(8,0)

(0,3)

(0,–24)

(–5,0)

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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)?

f(x) = (x – 2)(x – 7)

f(x) = (x + 2)(x + 7)

f(x) = (x – 3)(x + 7)

f(x) = (x + 3)(x – 7)

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

all real values of x where x < −1

all real values of x where x < 1

all real values of x where 1 < x < 3

all real values of x where x > 3

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

The vertex of the function is at (1,–25).

The vertex of the function is at (1,–24).

The graph is increasing only on the interval −4< x < 6.

The graph is positive only on one interval, where x < –4.

The graph is negative on the entire interval–4 < x < 6.

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

f(x) = x(x − 6)

f(x) = (x − 6)(x − 6)

f(x) = (x + 6)(x − 6)

f(x) = (x + 6)(x + 6)

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

x=−15

x=−6

x=6

x=15

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

(0,6)

(0,–6)

(6,0)

(–6,0)

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

Option

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

The function is positive for all real values of x wherex < –1.

The function is negative for all real values of x where x 1.

The function is positive for all real values of x wherex > 0.

The function is negative for all real values of x wherex –1.

The function f(x) = (x − 4)(x − 2) is shown.

all real numbers less than or equal to 3

all real numbers less than or equal to −1

all real numbers greater than or equal to 3

all real numbers greater than or equal to −1

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Quadratic Functions: Factored Form Answers

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