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

Find Amplitude, Period, and Phase Shift y=3sin((pix)/3-(2pi)/3)
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.
Multiply by .
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:
Cancel the common factor of .
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Factor out of .
Phase Shift:
Cancel the common factor.
Phase Shift:
Rewrite the expression.
Phase Shift:
Phase Shift:
Cancel the common factor of .
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Cancel the common factor.
Phase Shift:
Rewrite the expression.
Phase Shift:
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 sixty-three million five hundred twenty-seven thousand six hundred ninety-nine

Interesting facts

  • 2063527699 has 8 divisors, whose sum is 2175375440
  • The reverse of 2063527699 is 9967253602
  • Previous prime number is 673

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 49
  • Digital Root 4

Name

Name eight hundred eighty-four million nine hundred fifty-eight thousand seven hundred sixty-one

Interesting facts

  • 884958761 has 4 divisors, whose sum is 891418452
  • The reverse of 884958761 is 167859488
  • Previous prime number is 137

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 56
  • Digital Root 2

Name

Name two billion six million five hundred seventy-eight thousand three hundred six

Interesting facts

  • 2006578306 has 16 divisors, whose sum is 3194040600
  • The reverse of 2006578306 is 6038756002
  • Previous prime number is 449

Basic properties

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