Question

Determine which equation is belongs to the graph of the limacon curve below.

[-5,5] by [-5,5]
a.
r = 4 + cos(theta)
c.
r = 3 + 2 cos(theta)
b.
r = 2 + 3 cos(theta)
d.
r = 2 + 2 cos(theta)


Please select the best answer from the choices provided

A
B
C
D

Answer 1

c. r = 3 + 2 cos(theta)

Explanation:

Answer 2

c. r = 3 + 2 cos(theta)

Explanation:

At θ = 180°, the value of r is positive, but just a fraction of the value at θ = 0°. This eliminates choices 'b' and 'd'.

Choice 'a' would give r=3 and r=5 for those two cases, but the ratio of left extent to right extent looks smaller than 3/5. A graph of choice 'c' shows it matches the given figure.