Question 324496
Complete the square to find the vertex and the maximum value.
{{{A=-x^2+48x}}}
{{{A=-(x^2-48x)}}}
{{{A=-(x^2-48x+576)+576}}}
{{{A=-(x-24)^2+576}}}
The maximum value of 576 occurs at x=24.
.
.
.
{{{graph(300,300,-10,50,-40,600,48x-x^2)}}}