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 two hundred forty-nine million five hundred thirty-nine thousand fifty-five

Interesting facts

  • 1249539055 has 8 divisors, whose sum is 1564640352
  • The reverse of 1249539055 is 5509359421
  • Previous prime number is 23

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 43
  • Digital Root 7

Name

Name one billion eighty-five million twenty-eight thousand seven hundred fifty-six

Interesting facts

  • 1085028756 has 32 divisors, whose sum is 2517927552
  • The reverse of 1085028756 is 6578205801
  • Previous prime number is 41

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 42
  • Digital Root 6

Name

Name one billion five hundred seventy million six hundred six thousand six hundred fifty-six

Interesting facts

  • 1570606656 has 512 divisors, whose sum is 23900725728
  • The reverse of 1570606656 is 6566060751
  • Previous prime number is 523

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 42
  • Digital Root 6