SOLUTION: Find the standard form of the equation of the parabola with vertex at (5,2) and focus at (3,2).

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Question 1087919: Find the standard form of the equation of the parabola with vertex at (5,2) and focus at (3,2).
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
(5,2) distance from (3,2) is 2 units. Directrix x=7.
Symmetry axis, y=2. Concave to the left.



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Answer by MathTherapy(10557)   (Show Source): You can put this solution on YOUR website!
Find the standard form of the equation of the parabola with vertex at (5,2) and focus at (3,2).
Since the focus: (3, 2) is to the LEFT of the VERTEX (5, 2), this is a PARABOLA with a HORIZONTAL AXIS of SYMMETRY. 

Therefore, the CONIC form of the PARABOLA with a HORIZONTAL AXIS, or  is used.

h = 5;        k = 2                 p = – 2

 becomes: 



 





 <======== Equation of parabola 

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