Polar and parametric review

$\left(7,\ \frac{\pi}{3}\right)$

$\left(7,\ -\frac{4\pi}{3}\right)$

$\left(-7,\ \frac{2\pi}{3}\right)$

$\left(7,\ -\frac{5\pi}{3}\right)$

$\left(-7,\ \frac{4\pi}{3}\right)$

has 2 petals each with a length of 6, spread apart by π

has 4 petals each with a length of 6, spread apart by π/2

has 6 petals each with a length of 2, spread apart by π/3

has 4 petals each with a length of 4, spread apart by π/4

Is farthest right

Is farthest left

Is farthest up

Is farthest down

none of these

has a dimple

has a inner loop

is a rose graph

is a circle

Is a circle or a rose graph with one petal (diameter length of 2)

Is a rose graph with 2 petals

is a limacon with an inner loop

is a limacon with a dimple

$x^2+y^2=r^2$

y = rcos(theta)

y = rsin(theta)

x/y = tan(theta)

y/x = tan(theta)

(3,0)

(0,3)

(-3,0)

(0,-3)

all real numbers (-infinity, infinity)

[4, infinity)

(-1, infinity)

[1,infinity)