Graph the conic section with focus and the given directrix and eccentricity. Directrix

Question

Graph the conic section with focus  and the given directrix and eccentricity. Directrix

Quizplus · Accepted Answer

Since the directrix and focus have the same y-coordinate, the conic section is a parabola. The eccentricity, which is the distance between the focus and the directrix divided by 2, is equal to 1. Therefore, the vertex of the parabola is halfway between the focus and the directrix, which gives a y-coordinate of 11eaa948_ccd3_23bf_84bc_f53495bf2824_TB2342_11. This eliminates choices A and B. The focus is above the directrix, so the parabola opens upwards. This eliminates choice D. Therefore, the only valid choice is C.

Graph the Conic Section with Focus and the Given