Quadratic Functions: Factored Form

Question 1

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

Revolt · Accepted Answer

f(x) = x(x − 4)

Question 2

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

Revolt · Accepted Answer

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

Question 3

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 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

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.

Question 6

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 7

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

Revolt · Accepted Answer

(–6,0)

Question 8

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

Revolt · Accepted Answer

(0,–24)

Question 9

Which function has a vertex at the origin?

Revolt · Accepted Answer

f(x) = –x2

Quadratic Functions: Factored Form Answers