# Find Amplitude, Period, and Phase Shift y=-4sin(x+3pi) ?

Find Amplitude, Period, and Phase Shift y=-4sin(x+3pi) ?
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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 .
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:
Divide by .
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 eighty-eight million nine hundred seventy-five thousand nine hundred eighty-nine

### Interesting facts

• 1688975989 has 4 divisors, whose sum is 1696351660
• The reverse of 1688975989 is 9895798861
• Previous prime number is 229

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 70
• Digital Root 7

### Name

Name two hundred eighty-three million one hundred seventy-five thousand five hundred forty-six

### Interesting facts

• 283175546 has 16 divisors, whose sum is 440492040
• The reverse of 283175546 is 645571382
• Previous prime number is 421

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 41
• Digital Root 5

### Name

Name three hundred five million two hundred twenty thousand three hundred fifty

### Interesting facts

• 305220350 has 32 divisors, whose sum is 507506688
• The reverse of 305220350 is 053022503
• Previous prime number is 47

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 20
• Digital Root 2