SOLUTION: Determine whether f(x)= -5x^2 - 10x + 6 has a maximum of minimum value and find that value.

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Question 323970: Determine whether f(x)= -5x^2 - 10x + 6 has a maximum of minimum value and find that value.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Convert to vertex form, y=a%28x-h%29%5E2%2Bk by completing the square.
f%28x%29=-5x%5E2-10x+%2B+6
f%28x%29=-5%28x%5E2%2B2x%29%2B6
f%28x%29=-5%28x%5E2%2B2x%2B1%29%2B6%2B5
f%28x%29=-5%28x%2B1%29%5E2%2B11
The vertex occurs at (-1,11).
The coefficient for the x%5E2 term is negative and the parabola opens downward, the value at the vertex is the maximum.
ymax=11
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