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

Find Amplitude, Period, and Phase Shift y=1/4cos(4x-2pi)
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 and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
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:
Cancel the common factor of and .
Factor out of .
Phase Shift:
Cancel the common factors.
Factor out of .
Phase Shift:
Cancel the common factor.
Phase Shift:
Rewrite the expression.
Phase Shift:
Phase Shift:
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 four hundred seventeen million two hundred twenty-three thousand four hundred seventy-four

### Interesting facts

• 1417223474 has 16 divisors, whose sum is 2166652800
• The reverse of 1417223474 is 4743227141
• Previous prime number is 199

### Basic properties

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

### Name

Name one hundred sixty-eight million five hundred twenty-six thousand three hundred sixty-one

### Interesting facts

• 168526361 has 4 divisors, whose sum is 171382800
• The reverse of 168526361 is 163625861
• Previous prime number is 59

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 38
• Digital Root 2

### Name

Name one billion eight hundred thirty-eight million nine hundred fifty-two thousand nine hundred ninety-seven

### Interesting facts

• 1838952997 has 16 divisors, whose sum is 2745026560
• The reverse of 1838952997 is 7992598381
• Previous prime number is 7

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 61
• Digital Root 7