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

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:
$A = 2, B = 3 \\ \\ r = 2cos \theta + 3$

Answer 2

Answer:

r = 2 - 3 cos θ

Step-by-step explanation:

This is the best I could come up with.