Find Amplitude, Period, and Phase Shift y=sin(6pix-(4pi)/3)

Find Amplitude, Period, and Phase Shift y=sin(6pix-(4pi)/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 and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
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 one billion two hundred four million nine hundred sixty-one thousand nine hundred seven

Interesting facts

  • 1204961907 has 4 divisors, whose sum is 1606615880
  • The reverse of 1204961907 is 7091694021
  • Previous prime number is 3

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 39
  • Digital Root 3

Name

Name thirty-four million two hundred seventy thousand six hundred seventy-two

Interesting facts

  • 34270672 has 32 divisors, whose sum is 173495358
  • The reverse of 34270672 is 27607243
  • Previous prime number is 2

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 8
  • Sum of Digits 31
  • Digital Root 4

Name

Name seven hundred sixty-four million one hundred eleven thousand five hundred nineteen

Interesting facts

  • 764111519 has 4 divisors, whose sum is 767156040
  • The reverse of 764111519 is 915111467
  • Previous prime number is 251

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 35
  • Digital Root 8