Find Amplitude, Period, and Phase Shift y=2cos(x)

Find Amplitude, Period, and Phase Shift y=2cos(x)
Use the form to find the variables used to find the amplitude, period, phase shift, and vertical shift.
Find the amplitude .
Amplitude:
Find the period using the formula .
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The period of the function can be calculated using .
Period:
Replace with in the formula for period.
Period:
Solve the equation.
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The absolute value is the distance between a number and zero. The distance between and is .
Period:
Divide by .
Period:
Period:
Period:
Find the phase shift using the formula .
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The phase shift of the function can be calculated from .
Phase Shift:
Replace the values of and in the equation for phase shift.
Phase Shift:
Divide by .
Phase Shift:
Phase Shift:
Find the vertical shift .
Vertical Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: ( to the right)
Vertical Shift:
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Name

Name one billion twenty-one million one hundred seventy-eight thousand two hundred seventy-nine

Interesting facts

  • 1021178279 has 4 divisors, whose sum is 1114012680
  • The reverse of 1021178279 is 9728711201
  • Previous prime number is 11

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 38
  • Digital Root 2

Name

Name six hundred seventy-six million two hundred twenty thousand three hundred seventy-four

Interesting facts

  • 676220374 has 8 divisors, whose sum is 1067716440
  • The reverse of 676220374 is 473022676
  • Previous prime number is 19

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 37
  • Digital Root 1

Name

Name one billion seven hundred sixty-eight million one hundred twenty-nine thousand one hundred six

Interesting facts

  • 1768129106 has 8 divisors, whose sum is 2677943424
  • The reverse of 1768129106 is 6019218671
  • Previous prime number is 103

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 41
  • Digital Root 5