Find the x-intercept of the parabola with vertex (6,27) and y-intercept (0,-81)

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Mathematics

17 April, 01:21

Find the x-intercept of the parabola with vertex (6,27) and y-intercept (0,-81)

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Emilie Barker · Answer 1

Hello,

Parabola has for equation:

y=k (x-6) ²+27

and - 81=k * (-6) ²+27==>k=-3

so y=-3 (x-6) ²+27

y=-3 (x²-12x+27)

if y=0==> x²-12x+27=0

Δ=12²-4*27=36=6²

==>x=9 or x=3