Complete the square to rewrite y= x- 6x + 14 in vertex form. Then state
whether the vertex is a maximum or minimum and give its coordinates.
O A. Minimum at (3, 5)
O B. Maximum at (-3,5)
O C. Minimum at (-3,5)
O D. Maximum at (3,5)

Minimum at (3,5)

Step-by-step explanation:

The given equation is

Add and subtract the square of half the coefficient of x.

Factor perfect square trinomial:

Comparing to

we have the vertex to be (h,k)=(3,5)

Since a=1 is positive, the vertex is a minimum.

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction