What is the vertex of the quadratic function f (x) = (x - 3) (x - 2) ?

I

(2.5, -.25)

Step-by-step explanation:

First find the zeros

(x - 3) (x - 2) = 0

x-3 = 0 x-2=0

x=3 x=2

The zeros are at 3 and 2

Find the middle of the zeros

(5) / 2 = 2.5

The x coordinate of the vertex is at 2.5

To find the y coordinate, substitute x into the equation

f (2.5) = (2.5-3) * 2.5-2)

= -.5 (.5)

= -.25