Graphing sine & cosine

Where does the graph of y = sinx begin its first cycle?

• (0,0)

• (1,0)

• $\left(0,\pi\right)$

• $\left(1,\pi\right)$
  

Tags

CCSS.HSF-IF.C.7E

Where does the graph of y = cosx begin?

• (0,0)

• (0,1)

• $\left(0,\pi\right)$

• $\left(1,\pi\right)$
  

Tags

CCSS.HSF-IF.C.7E

What is the amplitude?

 $y=3\sin\left(7x\right)-2$  

• 7

• -2

• 3

• 6

Tags

CCSS.HSF-IF.C.7E

Which value represents a horizontal shift (left and right) in the following function?

 $y=A\sin\left(Bx-C\right)+D$  

• A

•  $\frac{2\pi}{B}$  
  

•  $-\frac{C}{B}$  
  

• D

Tags

CCSS.HSF-IF.C.7E

 $y=4\cos\left(5x\right)$  

What is the period?

•  $\frac{2\pi}{5}$  

•  $\pi$  
  

•  $5$  
  

•  $2\pi$ 
  

Tags

CCSS.HSF-IF.C.7E

 $y=-3\sin x$  

What is the period?

•  $\pi$  
  

•  $2\pi$  

•  $3\pi$  

•  $4\pi$  

Tags

CCSS.HSF-IF.C.7E

The period of a sine or cosine graph can be found by ....

• It's always $2\pi$  

•  $\frac{2\pi}{B}$  

•  $\frac{\pi}{B}$  

•  $-\frac{2\pi}{B}$  

Tags

CCSS.HSF-IF.C.7E

What is the amplitude of the graph? (you can click on the graph to enlarge it)

• -2

• 2

• 4

• -4

Tags

CCSS.HSF-IF.C.7E

What is the period of the graph? (you can click on the graph to enlarge it)

•  $2\pi$  

•  $\pi$  
  

•  $\frac{\pi}{2}$  

•  $\frac{\pi}{4}$  
  

Tags

CCSS.HSF.TF.A.4

What is the equation of the graph?

• $y=2\cos x$

• $y=\sin x$

• $y=2\sin x$

• $y=\sin\left(2x\right)$
  

Tags

CCSS.HSF-IF.C.7E