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

Find Amplitude, Period, and Phase Shift y=sin(3pix-(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
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:
Cancel the common factor of .
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Factor out of .
Phase Shift:
Factor out of .
Phase Shift:
Cancel the common factor.
Phase Shift:
Rewrite the expression.
Phase Shift:
Phase Shift:
Multiply and .
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 nine hundred fifty-one million one hundred seventy-one thousand nine hundred six

Interesting facts

  • 951171906 has 16 divisors, whose sum is 1909749024
  • The reverse of 951171906 is 609171159
  • Previous prime number is 257

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 39
  • Digital Root 3

Name

Name one billion seven hundred fifty-five million six hundred fifty-seven thousand four hundred forty-seven

Interesting facts

  • 1755657447 has 8 divisors, whose sum is 2364054000
  • The reverse of 1755657447 is 7447565571
  • Previous prime number is 101

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 51
  • Digital Root 6

Name

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

Interesting facts

  • 1096463847 has 16 divisors, whose sum is 1502081280
  • The reverse of 1096463847 is 7483646901
  • Previous prime number is 59

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 48
  • Digital Root 3