How do you find the equation of a parabola with vertex at the origin and focus (0, -2)?

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Answer 1 · 2017-04-21T17:39:28

Use the form #y = a(x-h)^2+k# where #(h,k)=(0,0)# and #a =1/(4f)# where f is the signed vertical distance from the vertex to the focus, -2.

Use the form #y = a(x-h)^2+k# where #(h,k)=(0,0)#

#y = ax^2#

#a =1/(4f)#

where f is the signed vertical distance from the vertex to the focus, -2.

#a = 1/(4(-2))#

#a =-1/8#

#y = -1/8x^2#