Find Amplitude, Period, and Phase Shift y=4sin((3x)/2+4/3)

Find Amplitude, Period, and Phase Shift y=4sin((3x)/2+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.
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 .
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Multiply and .
Phase Shift:
Multiply by .
Phase Shift:
Multiply 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 one billion seven hundred thirty-four million five hundred twenty-three thousand nine hundred five

Interesting facts

  • 1734523905 has 32 divisors, whose sum is 2801006208
  • The reverse of 1734523905 is 5093254371
  • Previous prime number is 181

Basic properties

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

Name

Name one billion one hundred thirty-six million nine hundred forty-two thousand three hundred thirty-five

Interesting facts

  • 1136942335 has 16 divisors, whose sum is 1380506400
  • The reverse of 1136942335 is 5332496311
  • Previous prime number is 859

Basic properties

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

Name

Name seventy-two million sixty-seven thousand seven hundred forty-one

Interesting facts

  • 72067741 has 4 divisors, whose sum is 75860800
  • The reverse of 72067741 is 14776027
  • Previous prime number is 19

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 8
  • Sum of Digits 34
  • Digital Root 7