Intro to TranslationHorizontal 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 occursa<1 vertical compress occurs
Need to know some base graphs:
Given the graph of f(x). Sketch the graph of y = f(x - 1) - 3
ex.
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?
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