SOLUTION: Write the quadratic function in the form, y= a(x-h)^2+k and sketch its graph y=2x^2+12x+16 (simplify your answer)

Algebra ->  Graphs -> SOLUTION: Write the quadratic function in the form, y= a(x-h)^2+k and sketch its graph y=2x^2+12x+16 (simplify your answer)      Log On


   



Question 1147895: Write the quadratic function in the form, y= a(x-h)^2+k and sketch its graph
y=2x^2+12x+16 (simplify your answer)

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
complete the square
:
y = 2x^2 +12x +16
:
y -16 = 2x^2 +12x
:
y -16 = 2(x^2 +6x)
:
y -16 +18 = 2(x^2 +6x +9)
:
y = 2(x +3)^2 -2
:
+graph%28+300%2C+200%2C+-10%2C+19%2C+-10%2C+10%2C+2x%5E2+-12x+%2B16%29+
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