Question

The graph of a limacon curve is given. Without using your graphing calculator, determine which equation is correct for the graph.[-5, 5] by [-5, 5] (1 point)

Answer 1

r = 2 - 3 cos θ

Explanation:

This is the best I could come up with.

Answer 2

The general form for this curve is:

`r = Acos \theta + B`
Now find A,B given 2 points:

`r(0) = 5, r(\pi) = 1`

`A +B = 5 \\ \\ -A+B = 1`
Solving this system yields:

`A = 2, B = 3 \\ \\ r = 2cos \theta + 3`