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

Find Amplitude, Period, and Phase Shift y=4sin(x)
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 .
The period of the function can be calculated using .
Period:
Replace with in the formula for period.
Period:
Solve the equation.
The absolute value is the distance between a number and zero. The distance between and is .
Period:
Divide by .
Period:
Period:
Period:
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:
Find the vertical shift .
Vertical 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 thirty million eight hundred eighty-four thousand seven hundred ninety-eight

### Interesting facts

• 130884798 has 8 divisors, whose sum is 202276608
• The reverse of 130884798 is 897488031
• Previous prime number is 33

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 48
• Digital Root 3

### Name

Name one billion seven hundred fifteen million three hundred fourteen thousand thirty-two

### Interesting facts

• 1715314032 has 128 divisors, whose sum is 11668166640
• The reverse of 1715314032 is 2304135171
• Previous prime number is 3

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 27
• Digital Root 9

### Name

Name two billion one hundred fourteen million five hundred five thousand one hundred thirteen

### Interesting facts

• 2114505113 has 16 divisors, whose sum is 2442599040
• The reverse of 2114505113 is 3115054112
• Previous prime number is 293

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 23
• Digital Root 5