1. Intro to Translation Horizontal ShiftsRecall 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:
3. 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?
4. State the equation for the following functionsin 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