Quadratic Functions: Factored Form

Question 1

Which graph represents the function f(x) = (x – 3)2?

Revolt · Accepted Answer

C: [Image: On a coordinate plane, a parabola opens up. It goe...]

Question 2

Which function has a vertex at (2, –9)?

Revolt · Accepted Answer

C: f(x) = (x – 5)(x + 1)

Question 3

Zander was given two functions: the one represented by the graph and the function f(x) = (x + 4)2. What can he conclude about the two functions?

Revolt · Accepted Answer

C: They have the same y-intercept.

Question 4

Which point is an x-intercept of the quadratic function f(x) = (x – 4)(x + 2)?

Revolt · Accepted Answer

B: (–2, 0)

Question 5

The graph of the function f(x) = (x + 6)(x + 2) is shown. Which statements describe the graph? Check all that apply.

Revolt · Accepted Answer

B: The axis of symmetry is x = –4.; C: The domain is all real numbers.; E: The function is negative over (–6, –2).

Question 6

The graph of the function f(x) = –(x + 1)2 is shown. Use the drop-down menus to describe the key aspects of the function.

Revolt · Accepted Answer

The vertex is the .: maximum value; The function is positive .: for no values of x; The function is decreasing .: when x > –1; The domain of the function is .: all real numbers; The range of the function is .: all numbers less than or equal to 0

Question 7

The graph of the function f(x) = –(x + 1)2 is shown. Use the drop-down menus to describe the key aspects of the function.

Revolt · Accepted Answer

B: ✔ maximum value

Question 8

when x < –1when x > –1for all real numbers of x✔ for no values of x

Revolt · Accepted Answer

D: ✔ for no values of x

Question 9

when x < –1✔ when x > –1for all real numbers of xfor no values of x

Revolt · Accepted Answer

B: ✔ when x > –1

Question 10

✔ all real numbersall real numbers less than –1all negative real numbersall positive real numbers

Revolt · Accepted Answer

A: ✔ all real numbers

Quadratic Functions: Factored Form Answers

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