Derive the equation of the parabola with a focus at (-2,4) and a directrix of y=6 . put the equation in standard form

Step-by-step explanation:

The vertex of this parabola is the midpoint of the focus (-2,4) and where the directrix intersects the axis of symmetry of the parabola (-2,6)

This parabola must open downwards due to the position of the directrix and has equation of the form:

where (h,k) is the vertex.

This implies that:

and

The value of p is the distance from the vertex to the focus:

We substitute all the values into the formula to get:

Or

1k

step-by-step explanation:

-6k+7k

(-6+7)k

1k