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Write the equation of a parabola with the focus of (-2,4) and directrix y=2. Show your work including a sketch.

Thanks in advance!

Guest May 3, 2017
 #1
avatar+87641 
+1

 

If the focus  is   ( -2 , 4)   and the directrix  is y = 2, the vertex  is ( -2, 3)

 

So....p  = 1      and we have the form

 

4p(y - 3) =   ( x + 2)^2

 

4(y - 3)  =   (x + 2)^2

 

y - 3  =  (1/4)(x + 2)^2

 

y = (1/4) ( x + 2)^2 +  3

 

 

cool cool cool

CPhill  May 3, 2017
 #2
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What does the p stand for and how did you get 1?

Guest May 4, 2017

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