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

Find Amplitude, Period, and Phase Shift y=4sin((x-pi)/4)-3
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 using the formula .
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.
Multiply by .
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.
Multiply by .
The period of addition/subtraction of trig functions is the maximum of the individual periods.
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 .
Cancel the common factor.
Phase Shift:
Rewrite the expression.
Phase Shift:
Phase Shift:
Phase Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: ( to the right)
Vertical Shift:
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### Name

Name one billion eight hundred sixteen million one hundred three thousand four hundred four

### Interesting facts

• 1816103404 has 16 divisors, whose sum is 4326599448
• The reverse of 1816103404 is 4043016181
• Previous prime number is 17

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 28
• Digital Root 1

### Name

Name one billion four hundred fifty-five million four hundred thirteen thousand three hundred seventy-two

### Interesting facts

• 1455413372 has 32 divisors, whose sum is 3871545120
• The reverse of 1455413372 is 2733145541
• Previous prime number is 29

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 35
• Digital Root 8

### Name

Name two hundred seventy-four million seven hundred forty thousand eight hundred ninety-one

### Interesting facts

• 274740891 has 4 divisors, whose sum is 366321192
• The reverse of 274740891 is 198047472
• Previous prime number is 3

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 42
• Digital Root 6