# 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 eight hundred seventy million six hundred twenty-nine thousand five hundred ninety-two

### Interesting facts

• 870629592 has 64 divisors, whose sum is 4477524480
• The reverse of 870629592 is 295926078
• Previous prime number is 7

### Basic properties

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

### Name

Name three hundred ninety-one million six hundred forty-eight thousand six hundred fifteen

### Interesting facts

• 391648615 has 16 divisors, whose sum is 495410400
• The reverse of 391648615 is 516846193
• Previous prime number is 829

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 43
• Digital Root 7

### Name

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

### Interesting facts

• 1867748989 has 4 divisors, whose sum is 1911185056
• The reverse of 1867748989 is 9898477681
• Previous prime number is 43

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 67
• Digital Root 4