if a parabola has its vertex at ( 3 -5) and one of its x-intercept at x=9 what is the other x-intercept

1 answer

The vertex lies on the axis of symmetry, which in turn lies midway between the two x-intercepts (roots), the axis of symmetry is x = 3
let the other intercept be k
(k+9)/2 = 3
k+9 = 6
k = -3
The other x-intercept is x = -3