# Find Amplitude, Period, and Phase Shift y=4sin((2pix)/5-5/4)

Find Amplitude, Period, and Phase Shift y=4sin((2pix)/5-5/4)
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.
Cancel the common factor 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:
Multiply the numerator by the reciprocal of the denominator.
Phase Shift:
Multiply .
Multiply and .
Phase Shift:
Multiply by .
Phase Shift:
Multiply by .
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 eight hundred seventy-eight million thirty thousand four hundred eighty-three

### Interesting facts

• 1878030483 has 8 divisors, whose sum is 1987745760
• The reverse of 1878030483 is 3840308781
• Previous prime number is 97

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 42
• Digital Root 6

### Name

Name two billion ninety million six hundred twenty-nine thousand seventy-eight

### Interesting facts

• 2090629078 has 8 divisors, whose sum is 3149065440
• The reverse of 2090629078 is 8709260902
• Previous prime number is 239

### Basic properties

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

### Name

Name one billion eight hundred seven million one hundred eighty-six thousand nine hundred sixty-nine

### Interesting facts

• 1807186969 has 8 divisors, whose sum is 2069324928
• The reverse of 1807186969 is 9696817081
• Previous prime number is 521

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 55
• Digital Root 1