1. Intro to Translation
Horizontal Shifts
Recall from 30SP
"k" shifts f(x) vertically up/down by k-units
"h" shifts f(x) horizontally left/right
(x - h) --> shifts right by h-units
(x + h) --> shifts left by h-units
"a" stretches or compresses f(x) vertically
a>1 vertical stretch occurs
a<1 vertical compress occurs

2. Need to know some base graphs:

4. ex. Given the graph of f(x),
Sketch the graph of
y = f(x -1) - 3
ex. The function y = f(x) has the domain -1 x 4 and range
2 y 7. What are the domain and range of y = f(x - 5) + 1?≤ ≤
≤ ≤

5. State the equation for the following functions
in relation to M(x)
ex. Describe the following in words:
ex. The graph of y = |x| is translated 7 units right and 6 units
up. What is the equation of the image graph?
Assignment p.168 #1, 2, 4-16