SOLUTION: Determine the maximum or minimum range value [P(x)] of the function P(x) = -3x2 + 6x + 5. State whether this value is a maximum or a minimum.

Question 89994: Determine the maximum or minimum range value [P(x)] of the function P(x) = -3x2 + 6x + 5. State whether this value is a maximum or a minimum.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Determine the maximum or minimum range value of the function:

First, since the coefficient of the term is <0 (negative), the parabola described by the functions opens downward so you know that the vertex will occur at the maximum.
To find the x-coordinate of the vertex, use:
in this equation, a = -3, and b = 6.

Now substitute this value of x into the quadratic equation and solve for y to get the y-coordinate of the vertex.
Simplify.

The vertex is at (1, 8) and is a maximum.

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