(i) Define a parabola giving its focus–directrix property and write the general…
MATHEMATICS · Subjective · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices
Problem
(i) Define a parabola giving its focus–directrix property and write the general equation of a parabola whose vertex is at the origin and whose axis lies along the x–axis.
(ii) State how the sign of the parameter a in the equation y2=4ax affects the direction in which the parabola opens.
(iii) Describe the symmetry of the curve y2=4ax and write the equation of its axis of symmetry.
(iv) For a>0, state the domain and range of the function represented implicitly by y2=4ax.