How do you find the equation of a parabola when given Focus (-2, 6) Vertex (-2, 9)?
[There may be a more direct route to this solution, but the following uses the tools I remember.]
A parabola in vertex form has the general form:
with a vertex at
So a parabola with a vertex at
The focus of a parabola given the general vertex form (above) is at
With the given focus at
Substituting the derived values for