SOLUTION: Express f(x)= 2x^2 + 8x + 7 in standard form

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Question 1156116: Express f(x)= 2x^2 + 8x + 7 in standard form
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Express f%28x%29=+2x%5E2+%2B+8x+%2B+7 in standard form
f%28x%29=a%28x-h%29%5E2%2Bk+-the standard form.
The vertex=(h,k)

f%28x%29=+%282x%5E2+%2B+8x%29%2B+7
f%28x%29=+2%28x%5E2+%2B+4x%29%2B+7......complete square
f%28x%29=+2%28x%5E2+%2B+4x%2Bb%5E2%29-2b%5E2%2B+7............b=4%2F2=2
f%28x%29=+2%28x%5E2+%2B+4x%2B2%5E2%29-2%2A2%5E2%2B+7
f%28x%29=+2%28x%2B2%29%5E2-8%2B+7
f%28x%29=+2%28x%2B2%29%5E2-1
=> h=-2,-1
vertex=(-2,-1)

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C2x%5E2+%2B+8x+%2B+7%29+