Question 1187357: 2. Find the equation of the parabola with vertex at (5, 4) and focus (5, 2).
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39620)   (Show Source):
You can put this solution on YOUR website! Use Definition of Parabola and the Distance Formula, and then simplify and put into whatever form of equation you need. According to your given description, directrix is y=6.
If start with 
and go through algebraic steps
you should find
 .
Answer by greenestamps(13200)  (Show Source):
You can put this solution on YOUR website!
You are given the vertex (5,4); and given the focus (5,2), you know the parabola opens downward.
The vertex form of the equation I prefer to use is
where (h,k) is the vertex and p is the directed distance (i.e., can be negative) from the vertex to the focus.
You are given (h,k) = (5,4); and the given vertex and focus tell us p = -2. So 4p = -8, and the equation is
|
|
|
