MATHEMATICS · Multi-part · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices
Problem
For each of the following parabolas, carry out the tasks given below.
(i) For each curve, find the value of the parameter a.
(ii) For each curve, obtain the coordinates of the focus and the equation of the directrix.
(iii) State the direction in which each parabola opens and justify your answer.
(iv) Determine which of the two parabolas has the longer latus rectum and calculate that length.