Exercise #8 notes
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This document discusses how to sketch graphs resulting from transformations of basic parent functions, including horizontal and vertical stretches as well as translations. It provides examples of stretching and translating graphs of f(x) = x^2 and generalizes the effects of stretches and translations on basic parent functions. The document concludes with instructions on combining multiple transformations and an example problem determining the x-intercepts resulting from a composite transformation.
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Exercise #8 notes
- 1. Exercise #8 Horizontal and Vertical Stretches 2 f ( x) f (2 x) f ( x) x2 Example The graph below is f ( x) . y x x Sketch 3 f ( x) Sketch f 3 y y x x
- 2. Generalizations f ( x) af ( x) f ( x) f (b( x)) Combining translations and stretches ** Always stretch first, then translate around the graph! Putting Transformations Together f ( x) y x 1 Sketch 2 f ( x 3) 2 Sketch f x 2 y y x x Journal The x-intercepts of f(x) are 6, 2 and –8. Determine the x-intercepts of f(2x – 4).