Find Amplitude, Period, and Phase Shift y=-2sin(3x-(3pi)/4)+2

Find Amplitude, Period, and Phase Shift y=-2sin(3x-(3pi)/4)+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 .
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 .
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:
Multiply the numerator by the reciprocal of the denominator.
Phase Shift:
Cancel the common factor of .
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Factor out of .
Phase Shift:
Cancel the common factor.
Phase Shift:
Rewrite the expression.
Phase Shift:
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 seven hundred forty-nine million two hundred one thousand eight hundred fourteen

Interesting facts

  • 1749201814 has 8 divisors, whose sum is 2630066040
  • The reverse of 1749201814 is 4181029471
  • Previous prime number is 419

Basic properties

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

Name

Name four hundred twenty-two million three hundred eighty-four thousand four hundred thirty-one

Interesting facts

  • 422384431 has 16 divisors, whose sum is 512778816
  • The reverse of 422384431 is 134483224
  • Previous prime number is 317

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 31
  • Digital Root 4

Name

Name one billion six hundred eighty-two million six hundred thirty-three thousand five hundred five

Interesting facts

  • 1682633505 has 8 divisors, whose sum is 1774919080
  • The reverse of 1682633505 is 5053362861
  • Previous prime number is 145

Basic properties

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