SOLUTION: Find the equation of a parabola with vertex on the line y = x + 2, axis parallel to Oy, latus rectum 6 and passing through ( -3, -1).

Question 1190857: Find the equation of a parabola with vertex on the line y = x + 2, axis parallel to Oy, latus rectum 6 and passing through ( -3, -1).
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

There is more than one solution.
Note that (,) is on the line :

->true
so the vertex can be (,).
It doesn’t have to be there, but that is an easy solution.
use vertex formula

Length of latus rectum is , so the leading coefficient is ±
substitute the coordinates the vertex and the leading coefficient

graph:

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