What is the maximum value that the graph of z=10-12w-2w^2?

1 Answer
Alan P. ยท AA_123
Nov 26, 2016

maximum value: color(green)(28)

Explanation:

Given
color(white)("XXX")z=10-12w-2w^2

The vertex will occur at the point where
color(white)("XXX")(dz)/(dw)=0
and since the coefficient of w^2 is negative, the vertex sill be a maximum

In this case (dz)/(dw)= -12-4w
so the maximum will occur when w=-3
and z=10-12 * (-3) - 2 * (-3)^2
color(white)("XXX")=10+36-18
color(white)("XXX")=28

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