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

Find Amplitude, Period, and Phase Shift y=4sin((2pix)/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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Cancel the common factor.
Rewrite the expression.
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 two billion seventy-five million three hundred one thousand nine hundred seventy-eight

Interesting facts

  • 2075301978 has 16 divisors, whose sum is 4151122560
  • The reverse of 2075301978 is 8791035702
  • Previous prime number is 10607

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 42
  • Digital Root 6

Name

Name one billion six hundred twenty-nine million four hundred seventy-seven thousand five hundred fourteen

Interesting facts

  • 1629477514 has 32 divisors, whose sum is 2867760000
  • The reverse of 1629477514 is 4157749261
  • Previous prime number is 499

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 46
  • Digital Root 1

Name

Name four hundred sixty-six million six hundred forty-four thousand eight hundred ninety-three

Interesting facts

  • 466644893 has 16 divisors, whose sum is 550452672
  • The reverse of 466644893 is 398446664
  • Previous prime number is 251

Basic properties

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