Find Amplitude, Period, and Phase Shift f(x)=2-sin(x/4)

Find Amplitude, Period, and Phase Shift f(x)=2-sin(x/4)
Rewrite the expression as .
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 using the formula .
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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 by .
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 by .
The period of addition/subtraction of trig functions is the maximum of the individual periods.
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 by .
Phase Shift:
Phase Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: None
Vertical Shift:
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Name

Name three hundred thirty-two million four hundred eighty-nine thousand six hundred sixty-eight

Interesting facts

  • 332489668 has 32 divisors, whose sum is 861134400
  • The reverse of 332489668 is 866984233
  • Previous prime number is 139

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 49
  • Digital Root 4

Name

Name one hundred forty-four million six hundred sixty-two thousand seven hundred sixty-eight

Interesting facts

  • 144662768 has 64 divisors, whose sum is 732975480
  • The reverse of 144662768 is 867266441
  • Previous prime number is 1459

Basic properties

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

Name

Name two hundred fifty million five hundred twenty thousand three hundred eighty-four

Interesting facts

  • 250520384 has 256 divisors, whose sum is 2880331488
  • The reverse of 250520384 is 483025052
  • Previous prime number is 107

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 29
  • Digital Root 2