Question

find an equation of the form y-k=a(x-h)^2 for the parabola that has a vertex (1,-5) and contains (-4,3)

Answer 1

Find an equation of the form y-k = a(x-h)[squared] for the parabola that has vertex (1, -5) and contains (-4, 3).
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Vertex is (h,k)
So, h = 1 and k = -5
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Form:
y+5 = a(x-1)^2
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Using (-4,3) you can solve for "a":
3+5 = a(-4-1)^2
a = 8/25
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Equation:
y + 5 = (8/25)(x-1)^2
I hope this helps!!

Answer 2

thank you!!!

Answer 3

No problem!