SOLUTION: Determine whether the quadratic function {{{f(x)=2x^2+12x}}} has a maximum value or a minimum value and then find the value.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Determine whether the quadratic function {{{f(x)=2x^2+12x}}} has a maximum value or a minimum value and then find the value.      Log On


   

Question 882926: Determine whether the quadratic function
f%28x%29=2x%5E2%2B12x
has a maximum value or a minimum value and then find the value.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Convert it to vertex form, y=a%28x-h%29%5E2%2Bk, by completing the square.
f%28x%29=2x%5E2%2B12x
f%28x%29=2%28x%5E2%2B6x%29
f%28x%29=2%28x%5E2%2B6x%2B9%29-2%289%29
f%28x%29=2%28x%2B3%29%5E2-18
The vertex is (-3,-18).
The parabola opens upwards.
The minimum value is y=-18.
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