SOLUTION: Find the equation of the parabola with vertex on the line y = 2, axis parallel to Oy, latus rectum 6, and passing through (2, 8).

Question 1190798: Find the equation of the parabola with vertex on the line y = 2, axis parallel to Oy, latus rectum 6, and passing through (2, 8).
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
the equation of the parabola with latus rectum
length of latus rectum is , so the leading coefficient is ±
vertex on the line =>
so far we have:

passing through (, )
use it to calculate

.......multiply by common denominator

=> or

and, your equation is:

graph:

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