Posted by Jon on Saturday, March 1, 2008 at 1:19pm.
You probably meant h(x)= -0.03x^2+3x
several ways to do this
1. by Calculus, find derivative, set it equal to zero and solve
2. by completing the square and changing the equation to the standard form of a parabola
3. in this case this is the easiest way:
since it factors to
h(x)= x(-0.03x+3)
and when h(x) = 0, x = 0 or -.03x+3=0
yielding x = 100
so the x-intercept of this parabola are 0 and 100, which means that the vertex is at the midway, or at x=50
so h(50) = 75
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