Horizontal Stretches Open the horizontal stretch applet.

Chapter 3, Problem 92

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Horizontal Stretches Open the horizontal stretch applet. (a) Use your mouse to grab the slider and change the value of a. Note the role a plays in the graph of where What happens to the points on the graph of g when What happens to the points on the graph when (b) To further understand the concept of horizontal compressions,fill in the spreadsheet to the right of the graph as follows: (i) What x-coordinate is required on the graph of g1x2 = 22x, if the y-coordinate is to be 1?(ii) What x-coordinate is required on the graph of , if the y-coordinate is to be 2? (iii) What x-coordinate is required on the graph of , if the y-coordinate is to be 3? (iv) What x-coordinate is required on the graph of , if the y-coordinate is to be 1? (v) What x-coordinate is required on the graph of , if the y-coordinate is to be 2? (vi) What x-coordinate is required on the graph of , if the y-coordinate is to be 3?

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