# Find Amplitude, Period, and Phase Shift y=6sin(pix-6)-6

Find Amplitude, Period, and Phase Shift y=6sin(pix-6)-6
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
Cancel the common factor of .
Cancel the common factor.
Divide 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
Cancel the common factor of .
Cancel the common factor.
Divide 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:
Phase Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: ( to the right)
Vertical Shift:
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### Name

Name two billion one million three hundred sixty-nine thousand seven hundred seventeen

### Interesting facts

• 2001369717 has 8 divisors, whose sum is 2225482200
• The reverse of 2001369717 is 7179631002
• Previous prime number is 1289

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 36
• Digital Root 9

### Name

Name one billion three hundred seventy-two million five hundred sixty-one thousand seven hundred eighty-six

### Interesting facts

• 1372561786 has 16 divisors, whose sum is 2167968960
• The reverse of 1372561786 is 6871652731
• Previous prime number is 4231

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 46
• Digital Root 1

### Name

Name five hundred forty-one million twenty thousand nine hundred sixty

### Interesting facts

• 541020960 has 256 divisors, whose sum is 5843041920
• The reverse of 541020960 is 069020145
• Previous prime number is 3

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 27
• Digital Root 9