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 one billion sixteen million four hundred thirty-five thousand four hundred eighty-eight

Interesting facts

  • 1016435488 has 128 divisors, whose sum is 7816279680
  • The reverse of 1016435488 is 8845346101
  • Previous prime number is 79

Basic properties

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

Name

Name eight hundred thirty-six million five hundred seventy-one thousand two hundred twenty-one

Interesting facts

  • 836571221 has 4 divisors, whose sum is 859181292
  • The reverse of 836571221 is 122175638
  • Previous prime number is 37

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 35
  • Digital Root 8

Name

Name one billion one hundred eighty-two million two hundred eighteen thousand one hundred eighty-two

Interesting facts

  • 1182218182 has 8 divisors, whose sum is 1877640696
  • The reverse of 1182218182 is 2818122811
  • Previous prime number is 17

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 34
  • Digital Root 7