Complete the square to rewrite y = x2 - 6x + 15 in vertex form. then state
whether the vertex is a maximum or minimum and give its coordinates.

a. maximum at (-3,6)
b. maximum at (3,6)
c. minimum at (3,6)
d. minimum at (-3,6)

Since is the square of x and 6x is twice the product between x and 3, the second square must be 3 squared, i.e. 9.

So, if we think of 15 as 9+6, we have

Which is the required vertex form. This form tells us imediately that the vertex is the point (3,6).

Since the leading coefficient is 1, the parabola is facing upwards (it's U shaped), so the vertex is a minimum.

b.-4 units

all you   do is count how many times you move