Question

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)

Answer 1

(-10,0),(-4,0) for Plato/Edmentum Users

Explanation:

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Answer 2

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