Precalc0103to0104-page28

Precalc0103to0104-page28 - (Section 1.4 Transformations...

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(Section 1.4: Transformations) 1.4.4 WARNING 1 : Many people confuse the horizontal shifts . • Compare the x -intercepts of the graphs of y = x and y = x ± 2 . The x -intercept is at x = 0 for the first graph, while it is at x = 2 for the second graph. The fact that the point 0, 0 () lies on the first graph implies that the point 2, 0 lies on the second graph. • More generally: The point a , b lies on the first graph ± the point a + 2, b lies on the second graph. Therefore, the second graph is obtained by shifting the first graph to the
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