# 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 one billion seven hundred forty-seven million four hundred twenty-eight thousand three hundred sixty-six

### Interesting facts

• 1747428366 has 64 divisors, whose sum is 3725326080
• The reverse of 1747428366 is 6638247471
• Previous prime number is 251

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 48
• Digital Root 3

### Name

Name nine hundred two million four hundred twenty-six thousand eight hundred eighty-six

### Interesting facts

• 902426886 has 16 divisors, whose sum is 1424732736
• The reverse of 902426886 is 688624209
• Previous prime number is 67

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 45
• Digital Root 9

### Name

Name one hundred forty-four million five hundred one thousand three hundred ninety-five

### Interesting facts

• 144501395 has 8 divisors, whose sum is 173484960
• The reverse of 144501395 is 593105441
• Previous prime number is 2551

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 32
• Digital Root 5