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chapter 1 19 - SECTION 1.3 NEW FUNCTIONS FROM OLD FUNCTIONS...

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Unformatted text preview: SECTION 1.3 NEW FUNCTIONS FROM OLD FUNCTIONS El 19 8. (a) The graph of y : 2 sin a: can be obtained from the graph of (b) The graph of y = 1 + J; can be y 2 sin at by stretching it vertically by a factor of 2. obtained from the graph of y = fl by shifting it upward 1 unit. 9. y : —:c3: Start with the graph of y = m3 and reflect about the x-axis. Note: Reflecting about the y-axis gives the same result since substituting —m for 3: gives us y = (—33)3 = ~x3. 10. y : 1 — x2 : —x2 + 1: Start with the graph of y 2 m2. reflect about the as-axis, and then shift 1 unit upward. ...
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