SOLUTION: What is the standard form of f(x)=(x^2)+14x+14

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Question 469007: What is the standard form of f(x)=(x^2)+14x+14
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Quadratic functions in standard form
f%28x%29+=+a%28x+-+h%29%5E2+%2B+k+

f%28x%29=%28x%5E2%29%2B14x%2B14................complete the square to express the quadratic in standard form
x%5E2%2B14x%2B14=0
x%5E2%2B14x=-14.........Take half of the coefficient (don't forget the sign!) of the x-term, and square it. Add this square to both sides of the equation.
x%5E2%2B14x%2B49=-14%2B49
%28x%2B7%29%5E2=35
%28x%2B7%29%5E2-35=0
so, this is the standard form of a quadratic function with
h+=+-7
k+=+-35
f%28x%29=%28x%2B7%29%5E2-35


+graph%28+500%2C+500%2C+-20%2C+20%2C+-40%2C+20%2C+x%5E2%2B14x%2B14%29+