Find Amplitude, Period, and Phase Shift y=-4sin(x+pi)+2

Find Amplitude, Period, and Phase Shift y=-4sin(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 left)
Vertical Shift:
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Name

Name one billion two hundred sixty-eight million six hundred nineteen thousand three hundred four

Interesting facts

  • 1268619304 has 32 divisors, whose sum is 4286597760
  • The reverse of 1268619304 is 4039168621
  • Previous prime number is 859

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 40
  • Digital Root 4

Name

Name five hundred fifty-six million nine hundred seventy-eight thousand one hundred seventy-three

Interesting facts

  • 556978173 has 16 divisors, whose sum is 755091072
  • The reverse of 556978173 is 371879655
  • Previous prime number is 401

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 51
  • Digital Root 6

Name

Name one billion seven hundred ninety-seven million nine hundred thirty-eight thousand fifty-five

Interesting facts

  • 1797938055 has 16 divisors, whose sum is 3835601280
  • The reverse of 1797938055 is 5508397971
  • Previous prime number is 5

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 54
  • Digital Root 9