Graphing trigonometric functions

What is the amplitude of the trig function shown?

• 3

• 2π

• 1

• -π/2

Tags

CCSS.HSF-IF.C.7E

y=2sin8x-2

• Amplitude is 2

• Period is 80

• Period is 45 degrees

• Midline is y=-2

• Max is 0

Tags

CCSS.HSF-IF.C.7E

Which colored graph represents  $f\left(x\right)=2\sin x$  ?

• purple

• blue

• red

• green

Tags

CCSS.HSF-IF.C.7E

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7E

Half the distance between the maximum and minimum values is called _?_

• amplitude
• period
• zeros
• asymptotes

Tags

CCSS.HSF-IF.C.7E

Use the graph of the cosine curve shown with a labeled point as the phase shift point, write the equation of the cosine curve. Be sure to distribute the b in to your final answer.

Mathematical Equivalence

ON

Tags

CCSS.HSF-IF.C.7E

Tags

CCSS.HSF-IF.C.7E

What is the period of the function in the graph?

Tags

CCSS.HSF.TF.A.4

Choose how the graph of  $-\cos\left(.5\cdot x\right)$  changes from the basic $\cos\left(x\right)$  .  Use the desmos file to help. You will have to change sin to cos on line #1.

https://www.desmos.com/calculator/q5ut3yicuk

• Vertical reflection (flipped)

• Vertical stretch (away from x-axis)

• Vertical compression (toward x-axis)

• Horizontal compression (squeezed toward y-axis)

• Horizontal expansion (pulled away from y-axis)

Tags

CCSS.HSF-IF.C.7E

What is the amplitude and vertical shift of the function y = -3 sin(x) + 2?

• Amplitude 3

  Vertical shift down 2

• Amplitude -3

  Vertical shift down 2

• Amplitude 3

  Vertical shift up 2

• Amplitude 2

  Vertical shift down 3

Tags

CCSS.HSF-IF.C.7E