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A parabola opening up or down has vertex 

(0,0) and passes through 

(12,–18)

 Write its equation in vertex form.

 Mar 2, 2021
 #1
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With vertex at 0,0 and including point   12, -18   it obviously opens downward (dome shaped)

 

Vertex form parabola

 

y = a (x-0)^2  + 0

y = a x^2        sub in   12 , -18

-18 = a (12^2)

            a = -18/144 = - 1/8

 

y = -1/8 x^2

 Mar 2, 2021

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