# Find Amplitude, Period, and Phase Shift y=3sin(100x+1)

Find Amplitude, Period, and Phase Shift y=3sin(100x+1)
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.
The absolute value is the distance between a number and zero. The distance between and is .
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
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:
Move the negative in front of the fraction.
Phase Shift:
Phase Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: ( to the left)
Vertical Shift: None
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### Name

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

### Interesting facts

• 185573566 has 4 divisors, whose sum is 278360352
• The reverse of 185573566 is 665375581
• Previous prime number is 2

### Basic properties

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

### Name

Name one billion five hundred eighty-six million nine hundred eighty-three thousand eight hundred seventy-six

### Interesting facts

• 1586983876 has 32 divisors, whose sum is 3706755048
• The reverse of 1586983876 is 6783896851
• Previous prime number is 53

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 61
• Digital Root 7

### Name

Name seven hundred sixty-two million two hundred nine thousand three hundred six

### Interesting facts

• 762209306 has 4 divisors, whose sum is 1143313962
• The reverse of 762209306 is 603902267
• Previous prime number is 2

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 35
• Digital Root 8