Question

Find the equation for the

following parabola.
Vertex (2, 3)
Focus (7, 3)


A. (x-3)2 = 20(y-2)
B. (y-3)2 = 20(x-2)
C. (x-2)2 = 20(y-3)
D. (y+3)2 = 20(x+2)

Answer 1

Answer: B

Explanation:

Answer 2

The equation of the parabola is;

(y-3)^2 = 20(x-2)

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)