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Find an equation of a parabola with a vertex at the origin and directrix y = –4

Question

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Find an equation of a parabola with a vertex at the origin and directrix y = –4

mrs.ambrose614 · Answer

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mrs.ambrose614 · Answer

The awnser is x does not intercept I hope I helped you

mrs.ambrose614 · Answer

The directrix is y=-4

mathmale · Answer

I'd suggest you lay out a set of coordinate axes (x- and y-axes) and graph the directrix (y=-4) and the vertex (0,0).  You can see that the distance |p| between directrix and vertex is 4.  The focus is the same distance UPWARD from the vertex; can you identify its coordinates?

mathmale · Answer

You can determine from the given info whether the parabolic graph opens up or down, to the left or to the right.  Which is it?