9.4 Sine and Cosine Functions

What is the amplitude of the function  $g\left(x\right)=-3\sin\ \left(2x\right)+4$  ?

•  $-3$  

• 3

• 4

• 2

Tags

CCSS.HSF-IF.C.7E

What is the period of the function  $g\left(x\right)=2\cos\ \left(3x-1\right)-7$  ?

•  $2\pi$  

•  $\frac{\pi}{2}$  

•  $\frac{2\pi}{3}$  

•  $\frac{\pi}{6}$  

Tags

CCSS.HSF-IF.C.7E

What is the equation of the center line for the function  $y=\sin\ \left(2x\right)-5$  ?

•  $y=0$  

•  $y=2$  

•  $y=-5$  

•  $x=0$  

Tags

CCSS.HSF-IF.C.7E

Describe the graph of g as a transformation of the graph of its parent function:  $g\left(x\right)=\cos\ \left(4x\right)+2$  

• The graph of g is a vertical stretch by a factor of  $4$  and a vertical translation up by 2 units.

• The graph of g is a vertical shrink by a factor of  $\frac{1}{4}$  and a horizontal translation left by 2 units.

• The graph of g is a horizontal stretch by a factor of  $4$  and a vertical translation up by 2 units.

• The graph of g is a horizontal shrink by a factor of  $\frac{1}{4}$  and a vertical translation up by 2 units.

Which function has an amplitude of 3 and a period of  $\pi$  ?

•  $y=3\sin\ \left(2x\right)$  

•  $y=3\cos\ \left(x\right)$  

•  $y=3\sin\left(\frac{1}{2}x\right)$  

•  $y=3\cos\left(4x\right)$  

Tags

CCSS.HSF-IF.C.7E

Write a rule for g that represents the indicated transformation of the graph of f:
 $f\left(x\right)=2\sin\left(x\right);\ \$  
 $\ \ translations\ 3\ units\ down\ and\ \pi\ units\ left.$  

•  $g\left(x\right)=2\sin\left(x-\pi\right)+3$  

•  $g\left(x\right)=2\sin\left(x+\pi\right)-3$  

•  $g\left(x\right)=2\sin\left(x-3\right)-\pi$  

•  $g\left(x\right)=2\sin\left(\pi x\right)-3$  

Phase shift means ...

• An up or down movement
• A left or right movement
• Height of graph
• ...set Phasers to stun

Tags

CCSS.HSF-IF.C.7E

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

• It's always $2\pi$

• $\frac{2\pi}{b}$

• $b\times2\pi$

• $2\pi+b$

Tags

CCSS.HSF-IF.C.7E

What is the equation of the graph?

• y = 2 cos x

• y = sin x

• y = 2 sin x

• y = sin 2x

What is the amplitude of the graph? 

• 1
• 3
• 6
• 9

Tags

CCSS.HSF-IF.C.7E