Find Amplitude, Period, and Phase Shift y=sin((4x)/3+4/3)

Find Amplitude, Period, and Phase Shift y=sin((4x)/3+4/3)
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 .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Combine and .
Move to the left of .
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:
Cancel the common factor of .
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Cancel the common factor.
Phase Shift:
Divide by .
Phase Shift:
Phase Shift:
Phase Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: ( to the left)
Vertical Shift: None
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Name

Name eight hundred ninety-one million six hundred sixty-one thousand five hundred sixty-two

Interesting facts

  • 891661562 has 8 divisors, whose sum is 1342779636
  • The reverse of 891661562 is 265166198
  • Previous prime number is 253

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 44
  • Digital Root 8

Name

Name seven hundred seventy-nine million nine hundred eighty-two thousand eight hundred eight

Interesting facts

  • 779982808 has 128 divisors, whose sum is 3038238720
  • The reverse of 779982808 is 808289977
  • Previous prime number is 73

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 58
  • Digital Root 4

Name

Name seven hundred thirty-eight million nine hundred twenty-six thousand sixty-five

Interesting facts

  • 738926065 has 4 divisors, whose sum is 886711284
  • The reverse of 738926065 is 560629837
  • Previous prime number is 5

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 46
  • Digital Root 1