# Find Amplitude, Period, and Phase Shift y=4cos((2x)/5-1)

Find Amplitude, Period, and Phase Shift y=4cos((2x)/5-1)
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.
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Move to the left of .
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 one billion three hundred forty million four hundred thirty-nine thousand three hundred thirty-five

### Interesting facts

• 1340439335 has 8 divisors, whose sum is 1622762640
• The reverse of 1340439335 is 5339340431
• Previous prime number is 113

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 35
• Digital Root 8

### Name

Name one billion seven hundred ninety-seven million three hundred twenty-one thousand four hundred ninety-four

### Interesting facts

• 1797321494 has 4 divisors, whose sum is 2695982244
• The reverse of 1797321494 is 4941237971
• Previous prime number is 2

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 47
• Digital Root 2

### Name

Name four hundred forty-six million six hundred fifty-eight thousand seven hundred seventy-three

### Interesting facts

• 446658773 has 16 divisors, whose sum is 495173952
• The reverse of 446658773 is 377856644
• Previous prime number is 281

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 50
• Digital Root 5