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

Find Amplitude, Period, and Phase Shift y=1/2sin(x-pi)+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 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 .
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 .
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:
Divide by .
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 five hundred thirteen million eight hundred nine thousand one hundred eighty

### Interesting facts

• 513809180 has 16 divisors, whose sum is 1387284840
• The reverse of 513809180 is 081908315
• Previous prime number is 5

### Basic properties

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

### Name

Name two billion one hundred two million nine hundred twenty-eight thousand seven hundred twenty-eight

### Interesting facts

• 2102928728 has 32 divisors, whose sum is 7098273000
• The reverse of 2102928728 is 8278292012
• Previous prime number is 13649

### Basic properties

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

### Name

Name one billion seven hundred seventy-nine million three hundred seventeen thousand nine hundred thirty-three

### Interesting facts

• 1779317933 has 4 divisors, whose sum is 1780766940
• The reverse of 1779317933 is 3397139771
• Previous prime number is 1229

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 50
• Digital Root 5