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A parabola opening up or down has vertex (0,2) and passes through (4,1). Write its equation in vertex form.

 Mar 4, 2023
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The equation of the parabola in the vertex form is y=a(x−h)^2+k

The vertex is given as (0,-2) and from the point given, we know that x = 4, and y = 1.

Plugging these points in the equation we get, 1=a(4-0)^2+2

1=4a+2

4a=-1

a=-1/4

 

So the equation of the proabola in vertex form would be y=-1/4(x-0)^2+2

 Mar 5, 2023

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