# Find Amplitude, Period, and Phase Shift y=-2sin(3x-(3pi)/4)+2

Find Amplitude, Period, and Phase Shift y=-2sin(3x-(3pi)/4)+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 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 .
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 .
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 .
Factor out of .
Phase Shift:
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 seven hundred forty-nine million two hundred one thousand eight hundred fourteen

### Interesting facts

• 1749201814 has 8 divisors, whose sum is 2630066040
• The reverse of 1749201814 is 4181029471
• Previous prime number is 419

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 37
• Digital Root 1

### Name

Name four hundred twenty-two million three hundred eighty-four thousand four hundred thirty-one

### Interesting facts

• 422384431 has 16 divisors, whose sum is 512778816
• The reverse of 422384431 is 134483224
• Previous prime number is 317

### Basic properties

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

### Name

Name one billion six hundred eighty-two million six hundred thirty-three thousand five hundred five

### Interesting facts

• 1682633505 has 8 divisors, whose sum is 1774919080
• The reverse of 1682633505 is 5053362861
• Previous prime number is 145

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 39
• Digital Root 3