# Find Amplitude, Period, and Phase Shift y=cos(theta-pi)+2

Find Amplitude, Period, and Phase Shift y=cos(theta-pi)+2
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 one billion three hundred seventy-two million two hundred ten thousand nine hundred twenty-three

### Interesting facts

• 1372210923 has 4 divisors, whose sum is 1829614568
• The reverse of 1372210923 is 3290122731
• Previous prime number is 3

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 30
• Digital Root 3

### Name

Name nine hundred seventy million eight hundred eighty-three thousand six hundred ninety-nine

### Interesting facts

• 970883699 has 8 divisors, whose sum is 1006021632
• The reverse of 970883699 is 996388079
• Previous prime number is 263

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 59
• Digital Root 5

### Name

Name one billion two hundred forty-seven million eight hundred ninety-three thousand two hundred nine

### Interesting facts

• 1247893209 has 8 divisors, whose sum is 1437901920
• The reverse of 1247893209 is 9023987421
• Previous prime number is 9

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 45
• Digital Root 9