Graph Quadratic Functions In Standard Form Worksheet Page 5

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5.2 Applic
cation and Ex
xtension
2
1) Gr
raph the follo
owing: f(x) =
-2x
– 4x + 6
6
2) T
Tell whether t
there is a mi
inimum value
or maximum
value
e. Then find
the minimum
m or maximum
m value.
2
Y = .2x
+
+ 40.2x + 10
3) Su
uper Kelly is
super becau
se he’s a goo
od guy. He is
s going to sel
ll his Hello K
Kitty collectio
on and donat
te all the mon
ney
to Ch
harity: Wate
er. He loves
that charity
because it h
helps ensure
that 800 mi
llion people i
n developing
countries ha
ave
acces
ss to clean, s
safe drinking
g water. Whe
en Super Ke
lly starts to
sell off his
collection he
e realizes th
hat he’ll offe
r a
disco
ount to peop
le who buy in
n bulk. He’s g
going to offe
er a $2 disco
ount for eac
ch Hello Kitty
y item bough
ht…so the mo
ore
you b
buy the chea
aper each ite
m is. He cam
me up with fo
ormula for hi
is profit of P
P(x) = x (120
– 2x), where
e P is the pro
ofit
and x
x is the numb
ber of items
bought.
a) Fi
nd Super Kel
lly’s formula
in standard f
form.
b) Ho
ow much mon
ney does he s
start with? H
How do you k
know?
c) W
What is the m
aximum prof
fit Super Kell
ly can make f
for Charity: W
Water? How
w many items
s would he ha
ave to sell?
d) Gr
raph the equ
ation.

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