91.9k views
4 votes
Find the standard equation and graph of a parabola that matches the given set of characteristics. vertex (0, 0) focus (-2, 0)

1 Answer

0 votes

Answer:


y^2=-8x

Explanation:

If a focus of the parabola is placed to the left from the vertex, then the standard equation of the parabola is


y^2=-2px,

where p is the distance from the focus to the directrix or
(p)/(2) is the distance from the focus to the vertex.

Thus,


(p)/(2)=√((-2-0)^2+(0-0)^2)=2\\ \\p=4

Therefore, the equation of the parabola is


y^2=-8x

User Benjamin West
by
6.7k points