# Find Amplitude, Period, and Phase Shift f(x)=1-3sin(2x-9)

Find Amplitude, Period, and Phase Shift f(x)=1-3sin(2x-9)
Rewrite the expression as .
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.
The absolute value is the distance between a number and zero. The distance between and is .
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.
The absolute value is the distance between a number and zero. The distance between and is .
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 one billion two hundred ninety-two million four hundred four thousand nine hundred ninety-two

### Interesting facts

• 1292404992 has 2048 divisors, whose sum is 44235416736
• The reverse of 1292404992 is 2994042921
• Previous prime number is 947

### Basic properties

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

### Name

Name one billion three hundred ninety-six million eight hundred sixty-five thousand eight hundred eighty-five

### Interesting facts

• 1396865885 has 8 divisors, whose sum is 1691073720
• The reverse of 1396865885 is 5885686931
• Previous prime number is 113

### Basic properties

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

### Name

Name seven hundred forty-two million three hundred eight thousand forty-three

### Interesting facts

• 742308043 has 4 divisors, whose sum is 785973240
• The reverse of 742308043 is 340803247
• Previous prime number is 17

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 31
• Digital Root 4