Use a graphing utility to graph the conic section with focus (0, 0) and the given directrix and eccentricity. Use a window size of [-3, 3] by [-3, 3]. Directrix y = -1, e = 3

Question

Quizplus · Accepted Answer

The given directrix y = -1 is a horizontal line, which means the conic section is a parabola. The eccentricity e = 3 is greater than 1, which means the parabola is stretched vertically. The vertex is halfway between the focus and the directrix, so it is at (0,1). Using these properties, the equation of the parabola can be written as y = (3/4)x^2 + 1. Graphing this equation using a window size of [-3,3] by [-3,3] on a graphing utility will result in Option C.

Use a Graphing Utility to Graph the Conic Section with Focus