A focus of an ellipse is at the origin

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

A focus of an ellipse is at the origin. The directrix is the line x=4x = 4 and the eccentricity is 12\frac{1}{2}. Then, the length of the semi-major axis is (1) 83\frac{8}{3} (2) 23\frac{2}{3} (3) 43\frac{4}{3} (4) 53\frac{5}{3}

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