In each of Problems a-c, find the Cartesian equation of the conic with the given properties. a.

Question:

In each of Problems a-c, find the Cartesian equation of the conic with the given properties.
a. Vertices (±4; 0) and eccentricity 1 / 2
b. Eccentricity 1, focus (0, -3), and vertex (0, 0)
c. eccentricity 1, vertex (0, 0), symmetric with respect to the x-axis, and passing through the point (-1, 3)