433,939 views
23 votes
23 votes
Given the parabola below, find the endpoints of the latus rectum. y² = = X​

User Nomadictype
by
2.7k points

1 Answer

11 votes
11 votes

Answer:

answer is below

Explanation:

y^2 = 16x is of the form y^2 = 4ax (ie. focal length is a = 4).

The latus rectum is a focal chord at right angles to the axix of the parabola.

In this example the the eauation of the latus rectum is x = 4

Solving y^2 = 16x with x = 4 gives y = -8, 8

Therefore the end points of the latus rectum for y^2 = 16x are (4, -8) and (4,8)

User Garis M Suero
by
2.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.