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A parabola opening up or down has vertex (0,0) and passes through (20,20). Write its equation in vertex form.

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 Apr 5, 2020
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Vertex at 0,0     and includes  20,20   obviously is opening UPWARD....like a bowl

 

-b/2a  = 0     so b = 0                h, k = 0 , 0

 

ax^2    = 20

a20^2  = 20

a = 20/400 = .05

 

 

y = .05 x^2                  or     y= .05(x-0)^2   + 0

 

Graph:

https://www.desmos.com/calculator/f5ghmltx1e

 Apr 5, 2020

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