What is the extreme of the following function

It is a quadratic function with graph as parabola

and its maximum lies at the vertex

So we have to find the vertex

So firstly compare it with y=ax^2 +bx +c

we get a=-1 and b=0 and c=2

So to find the vertex (h,k)

to find k , plug h=0 inplace of x in the function

So vertex is (0,2)

And the maximum value is (0,2) which is the extreme of the function

( - 4 , -7 )

all the lines must parallel  

step-by-step explanation:

coordinates of c = ( - 1 , 2 )

3 units left = ( -4 , 2 )

9 units down = ( - 4 , 11 )