consider the parabola with a focus at the point (0,-3) and directrix y=2 . which two equations can be used to correctly relate the distance from the focus and the directrix to any point (x,y) on the parabola ?

Answer:The equation of parabola is x² + 20 y + 60 = 0Step-by-step explanation:Given as :The focus point of parabola = (0 , - 3)The directrix is y = 2The equation of parabola  in vertex form is written as (x - h)² = 4 p (y -k)where (h , k) = (0, - 3)And directrix y = k - pSo , 2 = k - pOr p = k - 2Or, p = - 3 - 2 ∴   p = - 5So, the equation of parabola is(x - 0)² = 4 × ( - 5 ) (y + 3)or, x² = - 20 ( y + 3)or, x² = - 20 y - 60Hence The equation of parabola is x² + 20 y + 60 = 0   Answer