Rose graphs and other polar graphs

The polar equation r = 7, when graphed, is a ...

• line through the origin

• circle centered at origin

• hyperbola orientated vertically

• none of your business

Tags

CCSS.HSF-IF.C.7D

What is the polar equation of the graph shown here?

• $\theta=-\frac{\pi}{4}$

• $\theta=\frac{\pi}{3}$

• $\theta=\pi$

• $\theta=\frac{\pi}{6}$

Tags

CCSS.HSF-IF.C.7D

Which polar equation is equivalent to the rectangular equation  $y=x$  ?

•  $\theta=-\frac{\pi}{3}$  

•  $\theta=\frac{\pi}{6}$  

•  $\theta=\frac{\pi}{4}$  

•  $\theta=\pi$  

Tags

CCSS.HSN.CN.B.4

What does the polar function look like? $r=\theta$  

• a spiral

• a circle

• a line

• a rose

Tags

CCSS.HSN.CN.B.4

How many "petals" does the graph of  $r=8\cos10\theta$  

• 16

• 10

• 20

• 8

How many "petals" does the graph of  $r=8\cos9\theta$  

• 9

• 18

• 8

• 17

Which equation is represented by the graph?

• $r=4\sin5\theta$

• $r=2.5\sin5\theta$

• $r=5\cos4\theta$

• $r=4\cos5\theta$

Tags

CCSS.HSF-IF.C.7D

Which equation below has 100 petals?

• $r=100\cos100\theta$

• $r=6\sin50\theta$

• $r=25\sin75\theta$

• $r=10\cos10\theta$

Which is NOT true about the rose function
 $r=7\sin6\theta$  ?

• Each petals is less than 10 units long

• There are more than 7 petals

• There are fewer than 11 petals

• It is symmetrical about the y-axis

In the equation  $r=7\cos4\theta$  if I changed the 4 to a 5 to get  $r=7\cos5\theta$  , then what change took place in the graph?

• the amount of petals would decrease

• the amount of petals would increase

• the length of each petal would increase

• the length of each petal would decrease