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Creating equations for parabolas

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Give the focus, directrix, and axis for each parabola:

1. x^2= 1/8y

Write an equation for each parabola with vertex at the origin:

1. through (-2, -2 square root 2), opening left

2. through (2,-4), symmetric with respect to the y-axis

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https://brainmass.com/math/graphs-and-functions/creating-equations-parabolas-451881

Solution Preview

Give the focus, directrix, and axis for each parabola:

1. x^2= 1/8y

We have x^2 = (1/8)y = 4py, then p = 1/32
So the directrix is y = -1/32, the focus is (0, ...

Solution Summary

This solution shows how to create an equation for a parabola.

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