Mathematics
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OpenStudy (1645323):
Quadratic form of this equation:y = ½(x - 4)2 - 3
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OpenStudy (1645323):
@terenzreignz
terenzreignz (terenzreignz):
This isn't a question yet, you know :D
OpenStudy (1645323):
I know I just don't know how to turn the vertex form back into the standard form
OpenStudy (1645323):
Its the vertex form in the question
terenzreignz (terenzreignz):
Oh, well, simple enough ^^
Just expand the square of the binomial
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OpenStudy (1645323):
so .5(x-2)(x-2)-3?
terenzreignz (terenzreignz):
Why x-2?
OpenStudy (1645323):
because it adds to -4
terenzreignz (terenzreignz):
No, stay with the actual definition of squaring :D
x^2 = x x
(x-4)^2 = (x-4)(x-4)
Can you expand further?
OpenStudy (1645323):
i don't know at all
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terenzreignz (terenzreignz):
FOIL method?
OpenStudy (1645323):
oh so x^2-8x+16
terenzreignz (terenzreignz):
Yes... exactly XD
Now, replace (x-4)^2 with that...
and then just distribute and simplify.
OpenStudy (1645323):
ok so x^2+-4x+13?
OpenStudy (1645323):
no x^2-4x+5
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terenzreignz (terenzreignz):
Almost.
You forgot to multiply x^2 with ½ :P
OpenStudy (1645323):
what would it be then .5x^2?
terenzreignz (terenzreignz):
Yup. ^_^
terenzreignz (terenzreignz):
I prefer ½x^2 but whatever floats your boat XD
OpenStudy (1645323):
ok
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terenzreignz (terenzreignz):
Now, that wasn't so hard, was it?