# Find Amplitude, Period, and Phase Shift y=3sin(pix-1/2)

Find Amplitude, Period, and Phase Shift y=3sin(pix-1/2)
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 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 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:
Multiply and .
Phase Shift:
Phase Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: ( to the right)
Vertical Shift: None
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### Name

Name one billion six hundred eighty-four million one hundred forty-three thousand twenty-one

### Interesting facts

• 1684143021 has 8 divisors, whose sum is 2248573824
• The reverse of 1684143021 is 1203414861
• Previous prime number is 737

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 30
• Digital Root 3

### Name

Name one billion ninety-seven million two hundred thirty-five thousand one hundred eighty-four

### Interesting facts

• 1097235184 has 128 divisors, whose sum is 5762016000
• The reverse of 1097235184 is 4815327901
• Previous prime number is 389

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 40
• Digital Root 4

### Name

Name three hundred forty-seven million nine hundred fifty-five thousand fifty-eight

### Interesting facts

• 347955058 has 8 divisors, whose sum is 569381040
• The reverse of 347955058 is 850559743
• Previous prime number is 11

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 46
• Digital Root 1