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

Find Amplitude, Period, and Phase Shift y=1/2sin(x+pi/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 .
The period of the function can be calculated using .
Period:
Replace with in the formula for period.
Period:
Solve the equation.
The absolute value is the distance between a number and zero. The distance between and is .
Period:
Divide by .
Period:
Period:
Period:
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:
Find the vertical shift .
Vertical Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: ( to the left)
Vertical Shift:
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### Name

Name six hundred ten million three hundred eighty-three thousand five hundred seventy-two

### Interesting facts

• 610383572 has 16 divisors, whose sum is 1454149260
• The reverse of 610383572 is 275383016
• Previous prime number is 17

### Basic properties

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

### Name

Name one billion five hundred fifty million four hundred sixty thousand one hundred three

### Interesting facts

• 1550460103 has 4 divisors, whose sum is 1551138568
• The reverse of 1550460103 is 3010640551
• Previous prime number is 2293

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 25
• Digital Root 7

### Name

Name one billion eight hundred eighty-six million one hundred forty-seven thousand three hundred eighty-five

### Interesting facts

• 1886147385 has 64 divisors, whose sum is 3459456000
• The reverse of 1886147385 is 5837416881
• Previous prime number is 19

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 51
• Digital Root 6