What is the vertex of x^2-6x+9?

Step-by-step explanation:

factor out the x^2-6x+9

which would be (x-3) ^2

that means (x-3) (*-3)

you can find the two sides of this parabola by making each parathese equal to 0

like x-3=0, x-3=0

then solve the equation

x=3, x=3

since parabolas are symmetrical you add the two 3s and divid it in half to find the middle/reflection line

3+3=9 9:2=4.5

x=4.5, y=0

(0,4.5)