Find the x-intercept of parabola with the vertex (-7,45) and y-intercept (0,-200). write your answer in this form (x, y) , (x, y)

The equation of the parabola would be 

y = a(x + 7)^2  + 45   where a is some conatant

when x = 0   y = -200 so:-

-200 = a*7^2 + 45

a  = -200 - 45  / 49  =  -5 

so the equation of the parabola is y = -5 (x + 7)^2 + 45

Solving for x intercepts:-

(x+7)^2  =  -45/-5 = 9

x + 7 = +/- 3

x  = -10 ,  -4

x intercepts at (-10,0) and (-4,0) Answer

If you make it a little more clear i can answer it