Find Amplitude, Period, and Phase Shift y=-2cos(x-pi)-2

Find Amplitude, Period, and Phase Shift y=-2cos(x-pi)-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 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.
The absolute value is the distance between a number and zero. The distance between and is .
Divide 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.
The absolute value is the distance between a number and zero. The distance between and is .
Divide 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:
Divide by .
Phase Shift:
Phase Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: ( to the right)
Vertical Shift:
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Name

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

Interesting facts

  • 1186035725 has 8 divisors, whose sum is 1197499776
  • The reverse of 1186035725 is 5275306811
  • Previous prime number is 257

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 38
  • Digital Root 2

Name

Name one billion seventy-two million three hundred eighty-four thousand six hundred twenty-four

Interesting facts

  • 1072384624 has 64 divisors, whose sum is 5714682840
  • The reverse of 1072384624 is 4264832701
  • Previous prime number is 19

Basic properties

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

Name

Name one billion four hundred twenty-two million four thousand four hundred thirteen

Interesting facts

  • 1422004413 has 4 divisors, whose sum is 1896005888
  • The reverse of 1422004413 is 3144002241
  • Previous prime number is 3

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 21
  • Digital Root 3