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Page 9 of 13
7. (15 points) Consider the function
f(x)
=
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5)2
±8
rn
p4’-aboIi
for,’Yi
(a) What is the vertex of the parabola?
(tj)
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k
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(b) What is the axis of symmetry?
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k
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c
(c) What is the y-intercept?
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(d) Is th parabola concave up or concav-: down? (How do you know?)
n
do
(e) Is th parabola(stretched o) shrunk vertically?
u,cw
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r
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—
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(How
do you know?)
7
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IViath 1090
Page 10 of 13
(f) Graph the parabola.
x5
for roc.c
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Iviath 1090
Page 11 of 13
8. (10 points) Consider the fmiction
f(x)
3log(x —4)
(a) Find the domain.
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(b) Find the x-illtercept(s).
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5
x
(a)
Math 1090
Page 12 of 13
9. (10 points) Captain Bob wants to become a pirate. In order to realise his dream. he
needs $40,000 to purchase and outfit a pirate ship. He has found an account that pays
2% interest compounded monthly. Bob intends tpaJe pa’ments into the account at
th en o
does each payment heed to be if he wants to have
enoug or a pirate ship in 5 years?
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10. (10 points) Captain Bill also wants to become a pirate, but he lacks Bob’s fiscal disci
pline. He outfits his pirate ship by taking out a $40,000 loan at 9 interest, compounded
monthly. If Bill makes payments at the end of each month for five years, how much must
each payment be?
Ioavi
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cir-op(i-
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12
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Math 1090
Page 13 of 13
11. (10 points) Paula received a trust fund inheritance of $60,000 on her 35’ birthday. She
plans to use it to supplement her income with 80 equal quarterly aymens bQgjig
on her 65” birthday. If money is worth 64% compounded quarterly, how much will she
j1e eid of each quarter?
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Pr-f vJe
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