SOLUTION: Find an equation of the parabola with vertex at (2, -4) and directrix x = -5.

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Question 1164212: Find an equation of the parabola with vertex at (2, -4) and directrix x = -5.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39625)   (Show Source): You can put this solution on YOUR website!
If you try sketching the description, find that focus is at (9,-4).
Parabola is points (x,y) equally distant from (-5,y) as from (9,-4).


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Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

Find an equation of the parabola with vertex at (2, -4) and directrix x = -5.
With the DIRECTRIX being “x = ?”, we will have a PARABOLA with a HORIZONTAL AXIS of SYMMETRY (h).

We use the formula for a PARABOLA with a HORIZONTAL AXIS of SYMMETRY: , where:

                                                                      Vertex is: (h, k) = (2, - 4), and

                                                                      Directrix is:	



 ----- Substituting - 4 for k, 7 for p, and 2 for h

 

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