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

Find Amplitude, Period, and Phase Shift y=3+2sin(2x-pi)
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 .
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 .
Cancel the common factor of .
Cancel the common factor.
Divide by .
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 .
Cancel the common factor of .
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 .
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 seven hundred sixty-eight million three hundred ninety-six thousand eight hundred ninety-eight

### Interesting facts

• 768396898 has 16 divisors, whose sum is 1218712320
• The reverse of 768396898 is 898693867
• Previous prime number is 223

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 64
• Digital Root 1

### Name

Name four hundred forty-six million nine hundred ninety-seven thousand two hundred sixty-one

### Interesting facts

• 446997261 has 4 divisors, whose sum is 595996352
• The reverse of 446997261 is 162799644
• Previous prime number is 3

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 48
• Digital Root 3

### Name

Name one billion three hundred twenty-three million five hundred fifteen thousand nine hundred eighty-four

### Interesting facts

• 1323515984 has 128 divisors, whose sum is 6968788992
• The reverse of 1323515984 is 4895153231
• Previous prime number is 31

### Basic properties

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