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OpenStudy (anonymous):
Given y=x^(2)-8x+9, Complete the square and convert the equation to y=a(x-h)^(2)+k
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OpenStudy (helder_edwin):
you know this
\[ \large (a+b)^2=a^2+2ab+b^2 \]
OpenStudy (helder_edwin):
know try finding similarities with what you have
a^2 corresponds with x^2
right?
OpenStudy (anonymous):
yea.
OpenStudy (helder_edwin):
now look at the middle term.
a corresponds to x
then 2b=-8
agree?
OpenStudy (anonymous):
yes.
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OpenStudy (helder_edwin):
what is the value of b?
OpenStudy (anonymous):
-4?
OpenStudy (helder_edwin):
yes
then b^2=
OpenStudy (anonymous):
16
OpenStudy (helder_edwin):
great
do you have 16?
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OpenStudy (helder_edwin):
are you there?
OpenStudy (anonymous):
as one of the answers. no. The answers are
A. y=(x-4)^2+7
B.y=(x-4)^2-7
C.y=(x-8)^2+9
D.y=(x-4)^2+9
E.None of the above
OpenStudy (helder_edwin):
wait now you have
\[ \large y=x^2-8x+9 \]
you add and substract what you found b=16
\[ \large y=x^2-8x+16+9-16 \]
\[ \large y=(x-4)^2+ \]
OpenStudy (helder_edwin):
you tell me which one is the correct
OpenStudy (anonymous):
9
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OpenStudy (helder_edwin):
9-16=
OpenStudy (anonymous):
-7 so the answer is B?
OpenStudy (helder_edwin):
yes!
great work
did u understand?
OpenStudy (anonymous):
yes i did. thank you so much.!
OpenStudy (helder_edwin):
u r welcome
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