Find Amplitude, Period, and Phase Shift f(x)=-4sin(2x+pi)-5

Find Amplitude, Period, and Phase Shift f(x)=-4sin(2x+pi)-5
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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The period of the function can be calculated using .
Period:
Replace with in the formula for period.
Period:
Solve the equation.
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The absolute value is the distance between a number and zero. The distance between and is .
Period:
Cancel the common factor of .
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Cancel the common factor.
Period:
Divide by .
Period:
Period:
Period:
Period:
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:
Move the negative in front of the fraction.
Phase Shift:
Phase Shift:
Find the vertical shift .
Vertical Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: ( to the left)
Vertical Shift:
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Name

Name six hundred seventy-one million nine hundred thirteen thousand nine hundred sixteen

Interesting facts

  • 671913916 has 16 divisors, whose sum is 1600736256
  • The reverse of 671913916 is 619319176
  • Previous prime number is 17

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 43
  • Digital Root 7

Name

Name eight hundred seventy-two million eight hundred seventy-eight thousand five hundred twenty-three

Interesting facts

  • 872878523 has 4 divisors, whose sum is 952231128
  • The reverse of 872878523 is 325878278
  • Previous prime number is 11

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 50
  • Digital Root 5

Name

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

Interesting facts

  • 2028176823 has 16 divisors, whose sum is 2987801856
  • The reverse of 2028176823 is 3286718202
  • Previous prime number is 23

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 39
  • Digital Root 3