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(Section 17)

As mentioned early in this review it is important to understand such transformations as f(kx) and f(x+k) on a functions f(x). Study these examples and relate them to the early transformations discussed.  Viewing Window for each graph:   [-6.15,6.15,1.57,-4,5,1]
 

1. y = sin 2x Shrinking factor: 2
2. 
horizontal shift:
3. vertical shift: 3, 

shrinking factor: 3

4.

 

vertical shift: 2

horizontal shift:

shrinking factor: 4

amplitude change factor: 3

Note the window selected for examples 3 and 4 make the sine and cosine functions appear pointed. This is just a graphing calculator phenomena.

Check your understanding: (Remember to write down your answers.)

1. Sketch a graph of each of the following on the interval by thinking about the horizontal shift, vertical shift, amplitude change, and shrinking and stretching factors. Give a justification for each of your changes.

a. 

b. 

 

c.

 

 d.

 

e. 

 

f.

 

 

Table of Contents

Section 16

Answer Section

Section 18
 

This page was last modified on 03/21/16

Rahn, 2000