Question 579210
f(x)=2x²-4x-13 in the form of f(x)=a(x+h)²+k
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Complete the square

{{{2x^2 - 4x  - 13}}}  ;  factor out a 2 from left side
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{{{2(x^2 - 2x) - 13}}} ; complete the square
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{{{2(x^2 - 2x + 1) - 13 - 2}}}
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{{{2(x-1)^2 - 15}}}
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final form:
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{{{f(x) = 2(x-1)^2 -15}}}