Find Amplitude, Period, and Phase Shift y=2sin((3x)/2-1)

Find Amplitude, Period, and Phase Shift y=2sin((3x)/2-1)
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.
Multiply .
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Combine and .
Multiply by .
Combine and .
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 twelve million forty-three thousand two hundred sixty-nine

Interesting facts

  • 2012043269 has 4 divisors, whose sum is 2012204844
  • The reverse of 2012043269 is 9623402102
  • Previous prime number is 13597

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 29
  • Digital Root 2

Name

Name one billion six hundred ninety-seven million three hundred eighty-eight thousand four hundred forty-five

Interesting facts

  • 1697388445 has 16 divisors, whose sum is 2057159808
  • The reverse of 1697388445 is 5448837961
  • Previous prime number is 211

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 55
  • Digital Root 1

Name

Name one billion six hundred twenty-five million two hundred seventy-two thousand six hundred sixty-nine

Interesting facts

  • 1625272669 has 4 divisors, whose sum is 1625910844
  • The reverse of 1625272669 is 9662725261
  • Previous prime number is 2557

Basic properties

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