SOLUTION: The standard form equation of the parabola with vertex at (1, 2), latus rectum is 8, opens downward.

Question 1170536: The standard form equation of the parabola with vertex at (1, 2), latus rectum is 8, opens downward.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Vertex form of the equation is

where the vertex is (h,k) and p is the directed distance from the directrix to the vertex and from the vertex to the focus.

With the equation in this form, |4p| is also the length of the latus rectum.

With the parabola opening downward, p is negative, so 4p = -8.

Then you have all the parts you need to write the equation in vertex form:

Convert that to any desired form.

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