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December 22, 2014

December 22, 2014

Posted by **sc** on Friday, May 29, 2009 at 2:41am.

- 9th. algebra -
**Reiny**, Friday, May 29, 2009 at 7:24amI will assume there is a typo and you meant

y = x^2 + 4x - 8

take 1/2 the coefficient of the x term, square it, then add and then subtract it

( 1/2 of 4 is 2 and then squared would be 4)

y = x^2 + 4x +**4 - 4**- 8

the first three terms are now a perfect square

y = (x+2)^2 - 12

compare this with

y = a(x-p)^2 + q which has vertex (p,q) and you can conclude that the vertex of

y = (x+2)^2 - 12 is (-2,-12)

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