SOLUTION: Find the equation in standard form of the parabola with vertex at the origin and focus (0, -4)

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Question 1040448: Find the equation in standard form of the parabola with vertex at the origin and focus (0, -4)
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
This will be important to understand: Use a given directrix and focus to find equation for a parabola - video example

The derivation should give something which can be put into a form, 4p%28y-h%29=%28x-k%29%5E2, in which the vertex is (h,k), and the absolute value of p is how far is the distance of the vertex from either the focus or the directrix. p is a positive value if the parabola's vertex is a minimum; but p is a negative value if the vertex is a maximum.

You already were given that vertex is the origin, point (0,0), so your equation is of a simpler form, 4py=x%5E2.