SOLUTION: f(x)=2x²-4x-13 in the form of f(x)=a(x+h)²+k

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Question 579210: f(x)=2x²-4x-13 in the form of f(x)=a(x+h)²+k
Found 2 solutions by nerdybill, dfrazzetto:
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
You need to "complete the square":
f(x)=2x²-4x-13
f(x)=2(x²-2x)-13
f(x)=2(x²-2x+1)-13 - 2
f(x)=2(x-1)(x-1) -15
f(x)=2(x-1)^2 -15 (this is what they're looking for)

Answer by dfrazzetto(283) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=2x²-4x-13 in the form of f(x)=a(x+h)²+k


Complete the square
2x%5E2+-+4x++-+13 ; factor out a 2 from left side


2%28x%5E2+-+2x%29+-+13 ; complete the square


2%28x%5E2+-+2x+%2B+1%29+-+13+-+2


2%28x-1%29%5E2+-+15


final form:


f%28x%29+=+2%28x-1%29%5E2+-15