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

Find Amplitude, Period, and Phase Shift y=-1/2sin((3x)/2)
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: None
Vertical Shift: None
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Name

Name one billion eight hundred seventy-four million seven hundred thirty-three thousand seventy-three

Interesting facts

  • 1874733073 has 4 divisors, whose sum is 1874867940
  • The reverse of 1874733073 is 3703374781
  • Previous prime number is 15737

Basic properties

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

Name

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

Interesting facts

  • 1521624009 has 4 divisors, whose sum is 2028832016
  • The reverse of 1521624009 is 9004261251
  • Previous prime number is 3

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 30
  • Digital Root 3

Name

Name one billion nine hundred seventeen million three hundred five thousand one hundred thirty-four

Interesting facts

  • 1917305134 has 8 divisors, whose sum is 2876144040
  • The reverse of 1917305134 is 4315037191
  • Previous prime number is 28643

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 34
  • Digital Root 7