Quadratic Functions: Factored Form — Unit test

Question 1

Which equation, when graphed, has x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, –16)?

Revolt · Accepted Answer

f(x) = –2(x – 2)(x – 4)

Question 2

Given the function f(x) = −5x2 − x + 20, find f(3).

Revolt · Accepted Answer

−28

Question 3

According to one company’s profit model, the company has a profit of 0 when 10 units are sold and a maximum profit of $18,050 when 105 units are sold. What is the function that represents this company’s profit f(x) depending on the number of items sold, x?

Revolt · Accepted Answer

f(x)=−2(x−105)2+18,050

Question 4

Tables of values for two different functions are given below. Which statement is true?

Revolt · Accepted Answer

The right function grows approximately 21 times faster than the left function over the interval 4 < x < 5.

Question 5

What is the vertex of the graph of the function f(x) = x2 + 8x − 2 ?

Revolt · Accepted Answer

(−4, −18)

Quadratic Functions: Factored Form — Unit test Answers

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