Question

4 part question

Answer 1

judging by the equation what kind of shape do you think the graph might have?

Answer 2

cardioid

Answer 3

good

then for part II you just need to plug in theta into r = 2 + 2sin(theta) to get the appropriate r value for each row

Answer 4

2
4
2
0
2

Answer 5

good

then for part III you just need to graph these points

Answer 6

hm. not sure why there's a point all the way out at 6

notice how you got 2 when you plugged in theta = 0

Answer 7

yes

Answer 8

you plotted 6 at theta = 0

Answer 9

like that

Answer 10

good then you just need to connect the points w/ the cardioid shape

Answer 11

something like that

Answer 12

awesome

then for part IV you just need to identify what's symmetric (as a hint there's only one type of symmetry here)

Answer 13

the ones on the 0 line

Answer 14

be careful, it's the y-axis not the x-axis that makes this graph symmetric

Answer 15

so the point in the middle?

Answer 16

this line, not just the point

Answer 17

3pi/2 and pi/2?

Answer 18

good, so we would say this is symmetric about the vertical axis