Polar and parametric review

Select all the coordinates that represent the point graphed.

• $\left(7,\ \frac{\pi}{3}\right)$

• $\left(7,\ -\frac{4\pi}{3}\right)$

• $\left(-7,\ \frac{2\pi}{3}\right)$

• $\left(7,\ -\frac{5\pi}{3}\right)$

• $\left(-7,\ \frac{4\pi}{3}\right)$

Tags

CCSS.HSN.CN.B.4

What is the polar equation of this graph?
r = (a)  
(use "theta" to reprsent  $\theta$  )

r = 6sin(2θ)

• 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

r = 4 - 2sin(θ)

• Is farthest right

• Is farthest left

• Is farthest up

• Is farthest down

• none of these

r = 2- 4sin(θ)

• has a dimple

• has a inner loop

• is a rose graph

• is a circle

r = 2sin(θ)

• 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

which equations can you use to convert polar to rectangular?

• $x^2+y^2=r^2$

• y = rcos(theta)

• y = rsin(theta)

• x/y = tan(theta)

• y/x = tan(theta)

Tags

CCSS.HSN.CN.B.4

for the polar point  $\left(3,\pi\right)$  , what is the rectangular point

• (3,0)

• (0,3)

• (-3,0)

• (0,-3)

Tags

CCSS.HSN.CN.B.4

given x = t²+1, and y = t - 4,

what's the domain

• all real numbers (-infinity, infinity)

• [4, infinity)

• (-1, infinity)

• [1,infinity)