RedTexas RedTexas

15-06-2017
Mathematics

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find the x-intercepts of the parabola with vertex (1,-19)and y-intercept (0,-18).

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ghanami ghanami

18-06-2017

hello :
f(x) = a(x-1)² -19
find : a
f(0) = -18
-18 = a(0-1)² -19
-18 = a -19
a = 1
f(x) = (x-1)²-19
x-intercepts of the parabola when : f(x) = 0
(x-1)²-19 =0
(x-1)²=19
x-1 =√19 or x-1 =√19
x = 1+√19 or x = 1-√19 are x-intercepts of the parabola

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