Find the x-intercepts if the parabola with vertex (-3,-18) and y-intercept (0,0). Write your answer

Vertex form is

y = a (x - b) ^2 + c

here a = - 3 and b = - 18 so we have

y = a (x + 3) ^2 - 18

when x = 0, y = 0 (the y-intercept) so:-

0 = a (3^) 2 - 18

9a = 18

a = 2

so the parabola is y = 2 (x + 3) ^2 - 18

x intercepts found as follows:-

2 (x + 3) ^2 - 18 = 0

(x + 3) ^2 = 9

x + 3 = + / - sqrt9 = + / - 3

so x intercepts are 0 and - 6 Answer