For the parabola answer the following.

MATHEMATICS · Multi-part · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

For the parabola y2=12xy^{2}=12x answer the following. (i) Determine the coordinates of its focus. (ii) Find the coordinates of the end-points of its latus rectum. (iii) The vertex together with the two end-points of the latus rectum form a triangle. Calculate the area of this triangle.

Related theory

Browse the problem library