Unit 3B - Trigonometric Graphs

The __________ represents half the distance between the max and min of a sine or cosine graph. 

• Period
• Frequency
• Extreme Values
• Amplitude

What is the period of this equation?
 $y=-5\sin\left(3x\right)$  

• -5

•  $\frac{2\pi}{3}$  

•  $\frac{2\pi}{5}$  

• 3

What is the amplitude of the graph? 

• 1
• 3
• 6
• 9

• $f\left(x\right)=3\sin x$

• $f\left(x\right)=3\cos x$

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

• $f\left(x\right)=\ \cos\left(\frac{1}{3}x\right)$

Which value helps identify a vertical shift in the following function y=a*sin(bx)+d? $y=a\sin\left(bx\right)+d$  

• a

• b

• d

• none of the above

The period of a sine graph in the form  $y=a\sin\left(bx\right)+d$  

• It's always  $2\pi$  

•  $\frac{2\pi}{b}$  

•  $b\cdot2\pi$  

•  $b+2\pi$  

Which function below matches this graph?

• $\frac{1}{2}\tan x$

• $\tan\left(\frac{1}{2}x\right)$

• $-\frac{1}{2}\tan\ x$

• $-\frac{1}{2}\tan\left(\frac{1}{2}x\right)$

What is the equation of the graph?

• $y=2\cos x$

• $y=\sin x$

• $y=2\sin x$

• $y=\sin2x$

What is the equation of graph? 

• y = sin 5x
• y =  cos 5x
• y = 5 sin x
• y = 5 cos x 

What is the period of
y= -3sin(x)

• π
• 2π
• 3π
• 4π