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

Find Amplitude, Period, and Phase Shift y=2sin(x-1/2)+3
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 .
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 .
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:
Divide by .
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 hundred twelve million two hundred thousand eight hundred thirty-eight

### Interesting facts

• 212200838 has 4 divisors, whose sum is 318301260
• The reverse of 212200838 is 838002212
• Previous prime number is 2

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 26
• Digital Root 8

### Name

Name two billion one hundred forty-five million eight hundred thirty-three thousand nine hundred ninety-eight

### Interesting facts

• 2145833998 has 16 divisors, whose sum is 4012988544
• The reverse of 2145833998 is 8993385412
• Previous prime number is 11

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 52
• Digital Root 7

### Name

Name five hundred thirty-seven million six hundred thirty-three thousand eight hundred eighteen

### Interesting facts

• 537633818 has 4 divisors, whose sum is 806450730
• The reverse of 537633818 is 818336735
• Previous prime number is 2

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 44
• Digital Root 8