SOLUTION: Without graphing, find the maximum value.
f(x) = -10/3(x + 5)^2 - 5
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Question 312543: Without graphing, find the maximum value.
f(x) = -10/3(x + 5)^2 - 5
Found 2 solutions by Fombitz, solver91311:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The max occurs at the vertex, when x=-5.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Re-write your function:
\ =\ -\frac{10}{3}\left(x\ -\ (-5)\right)^2\ +\ (-5))
Since the lead coefficient is negative, this parabola opens downward making the vertex a maximum.
The vertex form equation of a parabola with vertical axis symmetry like this one is:
\ =\ y\ =\ 4p(x\ -\ h)^2\ +\ k)
Your vertex is therefore at )
The 
-coordinate of the vertex is the value of the function at the vertex, so:
\ =\ -5)
John
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