# 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 two billion twenty-five million nine hundred thirty-four thousand eight hundred sixty-two

### Interesting facts

• 2025934862 has 8 divisors, whose sum is 3473031216
• The reverse of 2025934862 is 2684395202
• Previous prime number is 7

### Basic properties

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

### Name

Name one billion seven hundred sixty-nine million fifty-four thousand seven hundred two

### Interesting facts

• 1769054702 has 16 divisors, whose sum is 2705860080
• The reverse of 1769054702 is 2074509671
• Previous prime number is 373

### Basic properties

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

### Name

Name four hundred sixty-six million one hundred ninety-six thousand four hundred fifty-two

### Interesting facts

• 466196452 has 16 divisors, whose sum is 1064598480
• The reverse of 466196452 is 254691664
• Previous prime number is 67

### Basic properties

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