Find Amplitude, Period, and Phase Shift f(t)=-2/3*sin(6t)

Find Amplitude, Period, and Phase Shift f(t)=-2/3*sin(6t)
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 .
The period of the function can be calculated using .
Period:
Replace with in the formula for period.
Period:
Solve the equation.
The absolute value is the distance between a number and zero. The distance between and is .
Period:
Cancel the common factor of and .
Factor out of .
Period:
Cancel the common factors.
Factor out of .
Period:
Cancel the common factor.
Period:
Rewrite the expression.
Period:
Period:
Period:
Period:
Period:
Find the phase shift using the formula .
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:
Find the vertical shift .
Vertical Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: ( to the right)
Vertical Shift:
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Name

Name one hundred thirty-nine million two hundred seventy-one thousand three hundred nine

Interesting facts

• 139271309 has 4 divisors, whose sum is 139993116
• The reverse of 139271309 is 903172931
• Previous prime number is 193

Basic properties

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

Name

Name one billion one hundred sixty million nine hundred eighty-four thousand six

Interesting facts

• 1160984006 has 32 divisors, whose sum is 2151186240
• The reverse of 1160984006 is 6004890611
• Previous prime number is 277

Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 35
• Digital Root 8

Name

Name one billion seven hundred sixty-six million twenty-six thousand one hundred ninety-six

Interesting facts

• 1766026196 has 32 divisors, whose sum is 4367895840
• The reverse of 1766026196 is 6916206671
• Previous prime number is 131

Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 44
• Digital Root 8