SOLUTION: write the equation of a parabola with a vertex at the origin and a focus of (0, -3).

Algebra.Com
Question 1160185: write the equation of a parabola with a vertex at the origin and a focus of (0, -3).
Found 2 solutions by greenestamps, MathTherapy:
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


The vertex form of the equation of a parabola that opens up or down with vertex (h,k) is



where p is the directed distance (that is, it might be negative) from the vertex to the focus.

In this problem, all the information required to write the equation is given to you; there is no work to be done other than plug in the numbers.

The vertex is (0,0); the directed distance from the vertex (0,0) to the focus (0,-3) is -3, so p = -3.

Plug in the numbers:





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Oops! Tutor @MathTherapy spotted my error.... The vertex is (0,0), not (0,-3). So






Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

write the equation of a parabola with a vertex at the origin and a focus of (0, -3).
 

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