azazael654 azazael654

23-05-2018
Mathematics

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Find the x-intercept of the parabola with vertex (-1,2) and y-intercept (0,-3)

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sqdancefan sqdancefan

23-05-2018

A graphing calculator shows the vertical scale factor is -5, so the equation is ...
y = -5(x +1)² + 2

Then the x-intercepts are
0 = -5(x +1)² + 2
(x +1)² = 2/5
x +1 = ±√(2/5)

x = -1 ±√(2/5) ≈ {-1.63245553203, -0.36754446797}

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