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