Question

Graph the polar equation.

r = 2 + 2sin θ

Answer 1

do you know what sin 0 is ?

Answer 2

one way to figure out the picture is test a few angles.

when the angle is 0, find r
angle 0 means pointing to the right along the x-axis
go the distance "r" in that direction to find that point on the curve.

cross off any plots that don't go through that point

Answer 3

is it b?

Answer 4

when theta=0 what is r?

r= 2 + 2*sin(0)
what is that ?

Answer 5

2?

Answer 6

yes. 2

that means you go along the horizontal axis to the right 2 steps (starting at 0 you end up at +2)

the graph has to go through that point

Answer 7

so its either A or D

Answer 8

now find r when theta= 90º (meaning it will point straight up along the y-axis)

Answer 9

4

Answer 10

yes

Answer 11

so its A

Answer 12

yes

Answer 13

ahh thank you!!