How do you find the standard form of the equation Vertex: ( -1, 2), Focus (-1, 0) Vertex: (-2, 1), Directrix: x = 1?
Use the fact that a parabola is the locus of points equidistant from the focus point and the directrix line.
The distance from the directrix,
The distance from the focus,
Because the distances must be equal, we can set the right side of equation  equal to the right side of equation :
Square both sides:
Expand the squares:
Combine like terms:
Divide both sides by -4: