Answer:
The equation of the parabola is;
(y-3)^2 = 20(x-2)
Step-by-step explanation:
Here, we want to find the equation of the parabola given the focus and the vertex of the said parabola
Mathematically, we can have the equation represented as;
(y-k)^2 = 4a(x-h)
As we can see that the focus and the vertex lie on the same horizontal line of y = 3
In this case, a = 7-2 = 5
The coordinates of the vertex is (h,k) = (2,3) in this case
where h = 2 and k = 3
So the equation of the parabola will be;
(y- 3)^2 = 4(5)(x-2)
(y-3)^2 = 20(x-2)
