Chapter 3 Linear and Quadratic Functions

Which parent function matches the graph?

• y = |x|

• y = x

• y = x²

• y = 2^x

Given f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

• 11x² - 1

• 5x⁴ + 6x² - 1

• 5x² + 6x - 1

• 5x² + 8x - 1

f(x) = 3x + 10
g(x) = x - 2
Find f(g(0))

• 16

• 4

• -4

• None of these.

When f(x) = 2x and g(x) = x²+3 , find f(g(x)).

• x²+2x+3

• 4x²+3

• 2x²+3

• 2x²+6

What is the domain of the graph?

• [2,∞)

• (2,∞)

• All real numbers

• (∞, 2]

The intervals in which the function f given by f (x) = x² – 4x + 6 is increasing is

• none of these

What is the decreasing interval(s) on the function shown?

What is the symmetry of this graph?

• Odd

• Even

• Neither

Bob reads a book at a steady pace. At 0 hours he has 28 chapters to read and at 7 hours he has 0 chapters to read. Which of the following equations models the chapters as a function of hours of reading?

• C = 28t - 4

• C = -28t + 4

• C = -4t + 28

• C = 4t - 28

Compare the graph of g(x) = (x - 5)² and the function f(x) = x².

• g(x) is translated 5 units UP

• g(x) is translated 5 units DOWN

• g(x) is translated 5 units LEFT

• g(x) is translated 5 units RIGHT