Find the x intercepts for the parabola defined by the equation below. y=x^2-9x+18

X intercepts are where the y value is 0. So, set y=0 and solve

0=x^2-9x+18

0 = (x-6) (x-3)

x=6,3

The x intercepts are (6,0) and (3,0)

if you want to check, try these (x, y) pairs in the original equation.