SOLUTION: Rewrite the following quadratic function in vertex form. Then, determine if it has a maximum or minimum and say what that value is. y = -x^2 + 6x + 5

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Rewrite the following quadratic function in vertex form. Then, determine if it has a maximum or minimum and say what that value is. y = -x^2 + 6x + 5       Log On


   

Question 948852: Rewrite the following quadratic function in vertex form. Then, determine if it has a maximum or minimum and say what that value is.
y = -x^2 + 6x + 5

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y=-x%5E2%2B6x%2B5
Complete the square,
y=-%28x%5E2-6x%29%2B5
y=-%28x%5E2-6x%2B9%29%2B5%2B9
y=-%28x-3%29%5E2%2B14
So the vertex is (3,14).
Since the coefficient of the quadratic term is negative, the parabola opens downwards and the value at the vertex is a maximum.
y%5Bmax%5D=14
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