Question 62755

y= x2-8x+22.

The given function looks like a quadratic equation, we get a = 1, b =-8 and c = 22

The vertex is given by  (-b /2a) = [ -(-8)/ 2 *1]

                                 = [ 8 /2] = 4

 
The y value is given when you substitute x = 4in equation(1), we get

y = 4^2 -8*4 + 22 = 16 - 32 + 22 = 38 -32 = 6

y = 6

Now the vertex is (x ,y) = (4 ,6)