53. use the graph off to sketch the graphs.
(a) y = f(x) + 2 (b) y = -f(x)
(c) y = f(x - 2) (d) y = f(x + 3)
(e) y = f(x) - 1 (f) y = f(-x)
(-2, 4) f
+
(42)
(0,3)
127(1,0) f
(3,1)
(1,0)
2
270,-1) 4
t-27 (3,-1)

The figures below are made out of circles, semicircles, quarter circles, and a square. find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations).

The function f(x) = 14,600(1.1)* represents the population of a town x years after it was established. what was the original population of the town?

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)