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Transformations

Page history last edited by PBworks 13 years, 2 months ago

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

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