SOLUTION: Write an equation: Vertex is (5,4) Focus is (8,4)

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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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