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chapter 1 54

# chapter 1 54 - 54 CHAPTEIH FUNCTIONS AND MODELS(c To obtain...

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Unformatted text preview: 54 CHAPTEIH FUNCTIONS AND MODELS (c) To obtain the graph of y = 2 — f(x) we (d) To obtain the graph ofy = %f(ac) — 1, we shrink reﬂect the graph of y = f (as) about the the graph of y = f (av) by a factor of 2, and then m—axis. and then shift the resulting graph 2 shift the resulting graph 1 unit downward. units upward. (e) To obtain the graph of y : f’1(:1:) we (f) To obtain the graph of y = f_1(3c + 3), we reﬂect reﬂect the graph of y : f(m) about the line the graph of y : f (at) about the line y : a: [see 3/ = m. part (e)], and then shift the resulting graph left 3 units. 11. y : — sin 2w: Start with the graph of y : sin 2:. compress horizontally by a factor of 2, and reﬂect about the ar—axis. 12. y : 3 ln(m — 2): Start with the graph of y : In 213., shift 2 units to the right, and stretch vertically by a factor of 3. y §x=2 13. y : (1 + em) /2: Start with the graph of y : er. shift 1 unit upward, and compress vertically by a factor of 2. ...
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