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##### September 27 th

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**Thursday, November 14th**Warm-Up Write a new equation g(x) compared to f(x) = 1/2x + 2 Shift up 7 Shift left 4 September 27th**Homework**Answers**What has changed?!**F(x) G(x)**Part II-Transformations**Stretches & Compressions**Stretches and compressions change the slope of a linear**function. If the line becomes steeper, the function has been stretched vertically or compressed horizontally. 3. If the line becomes flatter, the function has been compressed vertically or stretched horizontally.**Stretch vs. Compression**• Stretches=pull away from y axis • Compression=pulled toward the y axis**Horizontal vs. Vertical**• Horizontal=x changes • Vertical=y changes**Stretches and compressions are not congruent to the original**graph. They will have different rates of change! Stretches and Compressions**#1**Use a table to perform a horizontal stretch of the function y= f(x)by a factor of 3. Graph the function and the transformation on the same coordinate plane. Think: Horizontal(x changes) Stretch (away from y). Step 1: Make a table of x and y coordinates Step 2: Multiply each x-coordinate by 3. Step 3: Graph**#2**Use a table to perform a vertical stretch of y = f(x) by a factor of 2. Graph the transformed function on the same coordinate plane as the original figure. Think: vertical(y changes) Stretch (away from y). Step 1: Make a table of x and y coordinates Step 2: Multiply each y-coordinate by 2. Step 3: Graph**Helpful Hint**• These don’t change! • y–intercepts in a horizontal stretch or compression • x–intercepts in a vertical stretch or compression**Writing New**Compressions and Stretches**#1**.**# 3**Let g(x) be a horizontal stretch of f(x) = 6x -4 by a factor of 2 . Write the rule for g(x), and graph the function. .