Cosine Function Graphs

Desmos File: Parent function (degrees) 
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​THIS IS IN DEGREES
  • this is the parent function of cosine functions
  • Period [0,360)
  • Range: [-1,1]
  • Midline y = 0
  • Amplitude = 1
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Desmos File: Parent function (radians) 
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​THIS IS IN RADIANS
  • this is the parent function of cosine functions
  • Period [0,2π)
  • Range: [-1,1]
  • Midline y = 0
  • Amplitude = 1

Desmos File: 
​y = a cos x
click on lower right corner to use this online graphing calculator​THIS IS IN DEGREES
  • this is a vertical dilation of the parent cosine function
  • Period [0,360)
  • Range: [-a,a]
  • Midline y = 0
  • Amplitude = a

​Desmos File: 
​y = a cos x
click on lower right corner to use this online graphing calculator​THIS IS IN RADIANS
  • this is a vertical dilation of the parent cosine function
  • Period [0,2π)
  • Range: [-a,a]
  • Midline y = 0
  • Amplitude = a

 Desmos File:
y= cos​ (bx)
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THIS IS IN DEGREES
  • this is a horizontal dilation of the parent cosine function
  • Period [0,360/b)
  • Range: [-1,1]
  • Midline y = 0
  • Amplitude = 1

​Desmos File:
y= cos (bx)
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THIS IS IN DEGREES
  • this is a horizontal dilation of the parent cosine function
  • Period [0,2π/b)
  • Range: [-1,1]
  • Midline y = 0
  • Amplitude = 1

Desmos File:
y= cos (x+c)
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THIS IS IN DEGREES
  • ​this is a horizontal shift of the parent cosine function
  • Period [-c,360-c)
  • Range: [-1,1]
  • Midline y = 0
  • Amplitude = 1

Desmos File:
y= cos (x+c)
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THIS IS IN RADIANS
  • ​this is a horizontal shift of the parent cosine function
  • Period [-c,2π-c)
  • Range: [-1,1]
  • Midline y = 0
  • Amplitude = 1

Desmos File:
y= cos (x) +d
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THIS IS IN DEGREES
  • ​this is a vertical shift of the parent cosine function
  • Period [0,360)
  • Range: [-1+d,1+d]
  • Midline y = d
  • Amplitude = 1

​Desmos File:
y= cos (x) +d
click on lower right corner to use this online graphing calculator
THIS IS IN RADIANS 
  • ​this is a vertical shift of the parent cosine function
  • Period [0,2π)
  • Range: [-1+d,1+d]
  • Midline y = d
  • Amplitude = 1