# Find Amplitude, Period, and Phase Shift y=1/6sin(x/4)

Find Amplitude, Period, and Phase Shift y=1/6sin(x/4)
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.
Multiply 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:
Multiply by .
Phase Shift:
Phase Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: None
Vertical Shift: None
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### Name

Name one billion four hundred seventy-one million thirty-seven thousand six hundred sixteen

### Interesting facts

• 1471037616 has 128 divisors, whose sum is 8347905360
• The reverse of 1471037616 is 6167301741
• Previous prime number is 113

### Basic properties

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

### Name

Name one billion eighty-five million four hundred one thousand eighty-five

### Interesting facts

• 1085401085 has 8 divisors, whose sum is 1302664920
• The reverse of 1085401085 is 5801045801
• Previous prime number is 11173

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 32
• Digital Root 5

### Name

Name one hundred fourteen million four hundred eighty-four thousand eight hundred forty-two

### Interesting facts

• 114484842 has 16 divisors, whose sum is 200851200
• The reverse of 114484842 is 248484411
• Previous prime number is 19

### Basic properties

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