Find Amplitude, Period, and Phase Shift y=4cos((2x)/5-1)

Find Amplitude, Period, and Phase Shift y=4cos((2x)/5-1)
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 of .
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The period of the function can be calculated using .
Replace with in the formula for period.
is approximately which is positive so remove the absolute value
Multiply the numerator by the reciprocal of the denominator.
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Move to the left of .
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:
Multiply the numerator by the reciprocal of the denominator.
Phase Shift:
Multiply by .
Phase Shift:
Phase Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: ( to the right)
Vertical Shift: None
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Name

Name nine hundred twenty-four million nine hundred twenty-seven thousand three hundred thirty-seven

Interesting facts

  • 924927337 has 4 divisors, whose sum is 925001860
  • The reverse of 924927337 is 733729429
  • Previous prime number is 58789

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 46
  • Digital Root 1

Name

Name one billion seven hundred seventy-two million fifty-six thousand nine hundred sixty

Interesting facts

  • 1772056960 has 2048 divisors, whose sum is 37158354720
  • The reverse of 1772056960 is 0696502771
  • Previous prime number is 107

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 43
  • Digital Root 7

Name

Name nine hundred ninety-five million seven hundred twenty thousand six hundred ninety-three

Interesting facts

  • 995720693 has 4 divisors, whose sum is 1086240768
  • The reverse of 995720693 is 396027599
  • Previous prime number is 11

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 50
  • Digital Root 5