# Find Amplitude, Period, and Phase Shift y=2sin((3x)/2-1)

Find Amplitude, Period, and Phase Shift y=2sin((3x)/2-1)
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.
is approximately which is positive so remove the absolute value
Multiply the numerator by the reciprocal of the denominator.
Multiply .
Combine and .
Multiply by .
Combine and .
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:
Multiply the numerator by the reciprocal of the denominator.
Phase Shift:
Multiply by .
Phase Shift:
Phase Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: ( to the right)
Vertical Shift: None
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### Name

Name two billion twelve million forty-three thousand two hundred sixty-nine

### Interesting facts

• 2012043269 has 4 divisors, whose sum is 2012204844
• The reverse of 2012043269 is 9623402102
• Previous prime number is 13597

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 29
• Digital Root 2

### Name

Name one billion six hundred ninety-seven million three hundred eighty-eight thousand four hundred forty-five

### Interesting facts

• 1697388445 has 16 divisors, whose sum is 2057159808
• The reverse of 1697388445 is 5448837961
• Previous prime number is 211

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 55
• Digital Root 1

### Name

Name one billion six hundred twenty-five million two hundred seventy-two thousand six hundred sixty-nine

### Interesting facts

• 1625272669 has 4 divisors, whose sum is 1625910844
• The reverse of 1625272669 is 9662725261
• Previous prime number is 2557

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 46
• Digital Root 1