Find Amplitude, Period, and Phase Shift y=cos(x-2pi)-1

Find Amplitude, Period, and Phase Shift y=cos(x-2pi)-1
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 nine hundred fifty-nine million two hundred twenty-five thousand seven hundred ninety-seven

Interesting facts

  • 959225797 has 4 divisors, whose sum is 959417100
  • The reverse of 959225797 is 797522959
  • Previous prime number is 5153

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 55
  • Digital Root 1

Name

Name nine hundred thirty-one million nine hundred fifty-three thousand one hundred sixty-four

Interesting facts

  • 931953164 has 16 divisors, whose sum is 2169201600
  • The reverse of 931953164 is 461359139
  • Previous prime number is 29

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 41
  • Digital Root 5

Name

Name one billion one hundred seventy-two million ninety-seven thousand thirty-six

Interesting facts

  • 1172097036 has 32 divisors, whose sum is 3196629360
  • The reverse of 1172097036 is 6307902711
  • Previous prime number is 11

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 36
  • Digital Root 9