Question

Find the parabola whose vertice (4,0) and focus (2,0)

Answer 1

vertex is(4,0) and focus is (2,0) . The distance between focus and vertex is 2 which is one fourth of Latus rectum. Latus rectum=8. (y-0)^2=8(x-4) => y^2= 8x-32 is the equation of the parabola.