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

Find Amplitude, Period, and Phase Shift y=sin(3x+2pi)
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 of .
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 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:
Move the negative in front of the fraction.
Phase Shift:
Phase Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: ( to the left)
Vertical Shift: None
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### Name

Name five hundred eighty-nine million forty-six thousand three hundred fifty-nine

### Interesting facts

• 589046359 has 8 divisors, whose sum is 642773520
• The reverse of 589046359 is 953640985
• Previous prime number is 6329

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 49
• Digital Root 4

### Name

Name seven hundred forty-seven million five hundred forty-seven thousand three hundred thirteen

### Interesting facts

• 747547313 has 4 divisors, whose sum is 747856500
• The reverse of 747547313 is 313745747
• Previous prime number is 2437

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 41
• Digital Root 5

### Name

Name three hundred eighty-one million three hundred thirty-seven thousand seven hundred twelve

### Interesting facts

• 381337712 has 64 divisors, whose sum is 2206311696
• The reverse of 381337712 is 217733183
• Previous prime number is 7

### Basic properties

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