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Unformatted text preview: tion that, in general, the order in which transformations are
applied matters, yet in our ﬁrst example with two transformations the order did not matter.
(You could perform the shift to the left followed by the shift down or you could shift down
and then left to achieve the same result.) With the help of your classmates, determine the
situations in which order does matter and those in which it does not.
7. What happens if you reﬂect an even function across the y -axis?
8. What happens if you reﬂect an odd function across the y -axis?
9. What happens if you reﬂect an even function across the x-axis?
10. What happens if you reﬂect an odd function across the x-axis?
11. How would you describe symmetry about the origin in terms of reﬂections?
12. As we saw in Example 1.8.5, the viewing window on the graphing calculator aﬀects how we see
the transformations done to a graph. Using two diﬀerent calculators, ﬁnd viewing windows
so that f (x) = x2 on the one calculator looks like g...
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