Stephanie K. Lewis

EMAT 6680

Assignment 11 #4

(A11#4)

Investigate (a)

The graph is illustrated below.

Investigate (b)

The graph is illustrated below.

Investigate (c)

The graph is illustrated below.

Observation: In the first (a) and second (b) illustrations, both graphs are ellipses. Graph (a) is symmetric with respect to the x-axis, while graph (b) is symmetric along the line y=x. As theta changes, the ellispe will shift according to the angle measurement.

Graph c is a hyperbola.