How do you write the standard form of the equation of the parabola whose directrix is x=-1 and whose focus is at (5,-2)?
Since directrix is x=-1, it implies the parabola is a horizontal one. The vertex of the parabola would lie on the axis of symmetry which would be y=-2 and it would be equidistant from the directrix x=-1 and the fixed point which is focus at x=5, that is at x=2. The vertex of parabola would thus be (2, -2).
Standard form would be