Horizontal vs. Vertical Transformations Problem: In the function y = 3 + 4 cos 2( 5) the

Chapter 3, Problem 27

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Horizontal vs. Vertical Transformations Problem: In the function y = 3 + 4 cos 2( 5) the 3 and 4 are the vertical transformations, but the 2 and 5 are the reciprocal and opposite of the horizontal transformations. a. Show that you can transform the given equation to b. Examine the equation in part a for the transformations that are applied to the x- and y-variables. What is the form of these transformations? c. Why is the original form of the equation more useful than the form in part a? 2

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