# Find Amplitude, Period, and Phase Shift y=4sin((8x)/5-pi/2)

Find Amplitude, Period, and Phase Shift y=4sin((8x)/5-pi/2)
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 .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Combine and .
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:
Multiply .
Multiply and .
Phase Shift:
Multiply by .
Phase Shift:
Phase Shift:
Move to the left of .
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 seven hundred seventy-three million nine hundred fifty-nine thousand two hundred eighty-eight

### Interesting facts

• 1773959288 has 32 divisors, whose sum is 5989691448
• The reverse of 1773959288 is 8829593771
• Previous prime number is 2381

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 59
• Digital Root 5

### Name

Name two billion eighteen million eight hundred eighty-three thousand three hundred sixty-three

### Interesting facts

• 2018883363 has 8 divisors, whose sum is 2115871296
• The reverse of 2018883363 is 3633888102
• Previous prime number is 2671

### Basic properties

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

### Name

Name one billion four hundred fifty-four million seven hundred sixty-one thousand eight hundred forty-one

### Interesting facts

• 1454761841 has 8 divisors, whose sum is 1566969600
• The reverse of 1454761841 is 1481674541
• Previous prime number is 13099

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 41
• Digital Root 5