Quadratic Functions: Factored Form

Question 1

Sample Response: The vertex lies on the axis of symmetry, so the axis of symmetry is x = 3. Find any two x-intercepts that are equal distance from the axis of symmetry. Use those x-intercepts to write factors of the function by subtracting their values from x. For example, 2 and 4 are each 1 unit from x = 3, so f(x) = (x – 2)(x – 4) is a possible function.

Revolt · Accepted Answer

The vertex lies on the axis of symmetry.; The x-intercepts are the same distance from the line of symmetry.; Subtract an x-intercept from x to form a factor of the function.

Question 2

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

✔ maximum value; 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 3

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

Revolt · Accepted Answer

✔ for no values of x

Question 4

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

Revolt · Accepted Answer

✔ when x > –1

Question 5

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

Revolt · Accepted Answer

✔ all real numbers

Question 6

all real numbersall real numbers less than –1✔ all numbers less than or equal to 0all numbers greater than or equal to 0

Revolt · Accepted Answer

✔ all numbers less than or equal to 0

Question 7

What is the vertex of the quadratic function f(x) = (x – 8)(x – 2)?

Revolt · Accepted Answer

5; -9

Question 8

([___],[___])

Revolt · Accepted Answer

-9

Question 9

JeremiahLindsayStephenAlexis

Revolt · Accepted Answer

Stephen

Question 10

(0, –9)✔ (0, –5)(0, 4)(0, 5)

Revolt · Accepted Answer

✔ (0, –5)

Quadratic Functions: Factored Form Answers

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