A point lies on a parabola whose equation is of the form .

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

Problem

A point A(9,12)A(9,12) lies on a parabola whose equation is of the form y2=4axy^{2}=4ax. (a) Find the value of aa. (b) Write the coordinates of the focus of the parabola. (c) Obtain the equation of its directrix. (d) Determine another point on the curve whose ordinate is −12-12.

Related theory

Browse the problem library