Quadratic Functions: Factored Form

Question 1

The graph of the function f(x) = (x +2)(x + 6) is shown below.

Revolt · Accepted Answer

The domain is all real numbers, and the range is all real numbers greater than or equal to –4.

Question 2

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

Revolt · Accepted Answer

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

Question 3

What is the midpoint of the x-intercepts off(x) = (x – 2)(x – 4)?

Revolt · Accepted Answer

(3,0)

Question 4

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

Revolt · Accepted Answer

all real values of x where x < −1

Question 5

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

Revolt · Accepted Answer

x=6

Question 6

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

Revolt · Accepted Answer

(–6,0)

Question 7

The graph of the function f(x) = –(x + 6)(x + 2) is shown below.

Revolt · Accepted Answer

The function is increasing for all real values of x where x < –4.

Question 8

The graph of the function f(x) = (x + 2)(x + 6) is shown below.

Revolt · Accepted Answer

The function is negative for all real values of x where–6 < x < –2.

Question 9

What is the equation of the quadratic function with a vertex at (2,–25) and an x-intercept at (7,0)?

Revolt · Accepted Answer

f(x) = (x + 3)(x – 7)

Question 10

The graph of the function f(x) = (x – 4)(x + 1) is shown below.

Revolt · Accepted Answer

The function is decreasing for all real values of x wherex < 1.5.

Quadratic Functions: Factored Form Answers