# Find Amplitude, Period, and Phase Shift y=4cos(-2x-pi/3)

Find Amplitude, Period, and Phase Shift y=4cos(-2x-pi/3)
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.
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 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:
Move the negative in front of the fraction.
Phase Shift:
Multiply .
Multiply and .
Phase Shift:
Multiply by .
Phase Shift:
Phase Shift:
Phase Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: ( to the left)
Vertical Shift: None
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### Name

Name one billion six hundred thirty-one million eight hundred forty-four thousand five hundred eighteen

### Interesting facts

• 1631844518 has 8 divisors, whose sum is 2591753112
• The reverse of 1631844518 is 8154481361
• Previous prime number is 17

### Basic properties

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

### Name

Name eight hundred seventy-eight million seventy-three thousand two hundred thirty-two

### Interesting facts

• 878073232 has 64 divisors, whose sum is 4450329216
• The reverse of 878073232 is 232370878
• Previous prime number is 887

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 40
• Digital Root 4

### Name

Name six hundred two million eight hundred ninety-six thousand six hundred nine

### Interesting facts

• 602896609 has 8 divisors, whose sum is 689308928
• The reverse of 602896609 is 906698206
• Previous prime number is 2617

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 46
• Digital Root 1