Question 1001602: Write an equation:
Vertex is (5,4)
Focus is (8,4)
Answer by MathLover1(20849)   (Show Source):
You can put this solution on YOUR website!
Write an equation of the parabola with vertex (3, 1) and focus (3, 5).
Write an equation:
Vertex is ( , )
Focus is ( ,)
The equation of a parabola with vertex ( , ) is either
or
where the vertex is (,),  is distance from vertex to focus
Since the vertex is (,),  and  .
Since the vertex (,) and focus (,) have the same y-coordinate, it is equation of the second type.
The distance from vertex to focus is  units. Since the focus is right of the vertex, is positive, and so  . (Parabola opens to the right)
So the equation is
it cannot be this:
x= 1/4c y^2 (x-h)^2 + k....here is something wrong
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