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

Interesting facts

  • 384930027 has 16 divisors, whose sum is 688915200
  • The reverse of 384930027 is 720039483
  • Previous prime number is 149

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 36
  • Digital Root 9

Name

Name two hundred forty-five million three hundred thirty-six thousand five hundred two

Interesting facts

  • 245336502 has 32 divisors, whose sum is 504273888
  • The reverse of 245336502 is 205633542
  • Previous prime number is 73

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 30
  • Digital Root 3

Name

Name one billion five hundred five million sixty-nine thousand two hundred ninety

Interesting facts

  • 1505069290 has 32 divisors, whose sum is 2750837760
  • The reverse of 1505069290 is 0929605051
  • Previous prime number is 401

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 37
  • Digital Root 1