Day 1 examples u1f13
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This document discusses horizontal shifts of functions. It states that a shift of "h" units to the right is represented by (x - h) and a shift of "h" units to the left is represented by (x + h). It provides examples of sketching graphs after a horizontal shift and finding the domain and range of a shifted function. The document also mentions stretching and compressing graphs vertically with "a" and gives examples of writing equations of translated functions in terms of a base function M(x). It concludes by assigning practice problems from page 168.
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Day 1 examples u1f13
- 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