Find Amplitude, Period, and Phase Shift y=3sin(pix-1/2)

Find Amplitude, Period, and Phase Shift y=3sin(pix-1/2)
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 .
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Cancel the common factor.
Divide by .
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 and .
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 four hundred forty-one million eight hundred sixty-nine thousand four hundred seventy-five

Interesting facts

  • 1441869475 has 16 divisors, whose sum is 2089035936
  • The reverse of 1441869475 is 5749681441
  • Previous prime number is 163

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 49
  • Digital Root 4

Name

Name three hundred sixty-eight million four hundred thirty-eight thousand eight hundred fifty-three

Interesting facts

  • 368438853 has 8 divisors, whose sum is 492162016
  • The reverse of 368438853 is 358834863
  • Previous prime number is 541

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 48
  • Digital Root 3

Name

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

Interesting facts

  • 1696805296 has 32 divisors, whose sum is 8590076892
  • The reverse of 1696805296 is 6925086961
  • Previous prime number is 2

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 52
  • Digital Root 7