Question 168495
P(x)=-x^2+14x+54
Looking at the coefficient associated with the x^2 we see that it is negative.  This means that the vertex is the max.
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The axis of symmetry is the line x = -b/2a
x = -b/2a
x = -14/2(-1)
x = -14/(-2)
x = 7
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Solving the equation P(x) when x=7:
P(x)=-x^2+14x+54
P(7)=-7^2+14(7)+54
P(7)=-49+98+54
P(7)=-49+152
P(7)= $103