Find the equation of the parabola in the focus at (2, -3), the directrix x+5=0

Step-by-step explanation:

We want to find the equation of the parabola in the focus at (2, -3), the directrix x+5=0.

We know that the vertex is the midpoint of the focus and the directrix(where it intersect the axis of symmetry)

The midpoint of x=-5 and x=2 is x=-1.5

The y-coordinate of the vertex is still -3.

So the vertex is (-1.5,-3)

This is a horizontal parabola that opens to the right.

The equation is of the form

The vertex is (h,k)=(-1.5,-3) and p=|2--1.5|=3.5

We substitute to get:

answer: slight chance that it will happen

step-by-step explanation: