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

Find Amplitude, Period, and Phase Shift y=cos(x-2pi)-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 one hundred forty-one million three hundred eighty-four thousand seven hundred twenty

### Interesting facts

• 141384720 has 256 divisors, whose sum is 1159868160
• The reverse of 141384720 is 027483141
• Previous prime number is 79

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 30
• Digital Root 3

### Name

Name five hundred fifty-three million five hundred sixty thousand two hundred sixty-one

### Interesting facts

• 553560261 has 4 divisors, whose sum is 738080352
• The reverse of 553560261 is 162065355
• Previous prime number is 3

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 33
• Digital Root 6

### Name

Name one billion eight hundred thirty-five million one hundred seven thousand five hundred thirty-three

### Interesting facts

• 1835107533 has 32 divisors, whose sum is 2458118400
• The reverse of 1835107533 is 3357015381
• Previous prime number is 577

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 36
• Digital Root 9