Learning Objectives

Problem 1 of 3

Given the graph of y = g(x) below:

(a) Sketch the graph of y = -g(x) + 3

(b) Sketch the graph of y = g^-1(x)

(c) Sketch the graph of

Solution

Problem 2 of 3

The graph of y = f(x) is shown at the left.

(a) Sketch the graph of .

SOLUTION:

(b) Sketch the graph of y = 3f(2x).

Solution

Problem 3 of 3

Given the function y = √x + 4 - 1.

(a) Find all intercepts. State the domain and range.

(b) Sketch the graph of y = -√x + 4 - 4.

(c) In words, describe what transformations were applied in what order to the original function to create the graph in (c) above.

Solution