Question

Write the equation of a parabola in vertex form,

f(x) = a(x – h)2 +k, with vertex (-1, 8) and
passing through (3,4)
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Answer 1

Explanation:

Vertex-form equation for a vertical parabola with vertex (h,k):

y = a(x-h)²+k

Plug in coordinates of vertex:

y = a(x+1)²+8

plug in (3,4) and solve for a:

4 = a(3+1)²+8

a = -¼

The equation of the parabola is

y = -¼(x+1)²+8