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inessss [21]
3 years ago
12

Write an equation of a parabola that passes through the point (2,4) with vertex (-1,-1) in vertex form.

Mathematics
1 answer:
quester [9]3 years ago
8 0
An applicable equation of a vertical parabola in vertex form is:

y-k = a(x-h)^2

Let x=2, y=4, h=-1 and k=-1, where (h,k) is the vertex.  Then,

4-(-1) = a(2-[-1])^2, which becomes 5 = a(9).  Therefore, a = 5/9, and the 
equation of the parabola is

y+1 = (5/9)(x+1)
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