Find Amplitude, Period, and Phase Shift f(x)=1-3sin(2x-9)

Find Amplitude, Period, and Phase Shift f(x)=1-3sin(2x-9)
Rewrite the expression as .
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 .
Cancel the common factor of .
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Cancel the common factor.
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 .
Cancel the common factor of .
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Cancel the common factor.
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:
Phase Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: ( to the right)
Vertical Shift:
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Name

Name two billion twenty-five million nine hundred thirty-four thousand eight hundred sixty-two

Interesting facts

  • 2025934862 has 8 divisors, whose sum is 3473031216
  • The reverse of 2025934862 is 2684395202
  • Previous prime number is 7

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 41
  • Digital Root 5

Name

Name one billion seven hundred sixty-nine million fifty-four thousand seven hundred two

Interesting facts

  • 1769054702 has 16 divisors, whose sum is 2705860080
  • The reverse of 1769054702 is 2074509671
  • Previous prime number is 373

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 41
  • Digital Root 5

Name

Name four hundred sixty-six million one hundred ninety-six thousand four hundred fifty-two

Interesting facts

  • 466196452 has 16 divisors, whose sum is 1064598480
  • The reverse of 466196452 is 254691664
  • Previous prime number is 67

Basic properties

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