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Write the standard equation of the parabola with its vertex at (3,2) and its focus at (3,0) 

A) -8(y-2)=(x-3)^2 

B) 8(y-2)=(x-3)^2 

C)12(x-3)=(y-2)^2 

D) -12(x-3)=(y-2)^2

 Jun 26, 2016
 #1
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The form is given by:

 

(x - h)2   = 4p (y - k) 

 

The vertex is given by (h,k)   = (3,2)

 

And.....we have  a parabola with its focus that will lie 2 units below the vertex.......so p = -2

 

So we have

 

(x - 3)2  = 4(-2)(y - 2)

 

(x - 3)2   = -8(y - 2)  which is the same as

 

-8(y -2)  = (x - 3)2

 

 

cool cool cool

 Jun 26, 2016

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