Quadratic Functions: Factored Form

Question 1

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

Revolt · Accepted Answer

(3,0)

Question 2

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 3

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

Revolt · Accepted Answer

all real numbers greater than or equal to −1

Question 4

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

Revolt · Accepted Answer

f(x) = x(x − 4)

Question 5

Which is the graph of f(x) = –(x + 3)(x + 1)?

Question 6

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

Question 7

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 8

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

Revolt · Accepted Answer

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

Question 9

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 10

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)

Quadratic Functions: Factored Form Answers