Answer with explanation:
The given function is :
[tex]y= x^2 - 8 x -16[/tex]
For Maximum or Minimum ,Differentiating once , with respect to ,x
y'= 2 x - 8
Substituting, y'=0
2 x - 8 = 0
2 x= 8
Dividing both side by , 2 we get
x=4
To check whether ,it is maximum or Minimum, we will double differentiate it,with respect to x,
→y"= -8, which is negative.Showing that ,x=4 is point of Maximum.
So,→ Maximum value at ,x=4 is
y(4)=4² -8 × 4 -16
=1 6 - 32 - 16
= -32
Option C: -32
