# Find Amplitude, Period, and Phase Shift y=4sin(2/3x+pi/9)

Find Amplitude, Period, and Phase Shift y=4sin(2/3x+pi/9)
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:
Cancel the common factor of .
Move the leading negative in into the numerator.
Phase Shift:
Factor out of .
Phase Shift:
Cancel the common factor.
Phase Shift:
Rewrite the expression.
Phase Shift:
Phase Shift:
Multiply and .
Phase Shift:
Simplify the expression.
Multiply by .
Phase Shift:
Move the negative in front of the fraction.
Phase Shift:
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 two hundred three million four hundred thirty-three thousand six hundred sixteen

### Interesting facts

• 203433616 has 32 divisors, whose sum is 1029882762
• The reverse of 203433616 is 616334302
• Previous prime number is 2

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 28
• Digital Root 1

### Name

Name one billion three hundred twenty-six million six hundred fifty-eight thousand four hundred thirty-five

### Interesting facts

• 1326658435 has 8 divisors, whose sum is 1592302896
• The reverse of 1326658435 is 5348566231
• Previous prime number is 5717

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 43
• Digital Root 7

### Name

Name one billion nine hundred fifty-three million seven hundred fifty-four thousand three hundred ninety-eight

### Interesting facts

• 1953754398 has 32 divisors, whose sum is 6946682496
• The reverse of 1953754398 is 8934573591
• Previous prime number is 3

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 54
• Digital Root 9