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

Find Amplitude, Period, and Phase Shift y=1/2sin(1/2x+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 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
Multiply the numerator by the reciprocal of the denominator.
Multiply 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:
Cancel the common factor of .
Move the leading negative in into the numerator.
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 left)
Vertical Shift: None
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Name

Name one billion five hundred seventy million two hundred seven thousand seven hundred forty-four

Interesting facts

• 1570207744 has 16384 divisors, whose sum is 177407760384
• The reverse of 1570207744 is 4477020751
• Previous prime number is 7

Basic properties

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

Name

Name one hundred eleven million six hundred forty thousand seven hundred twelve

Interesting facts

• 111640712 has 32 divisors, whose sum is 393170112
• The reverse of 111640712 is 217046111
• Previous prime number is 23

Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 23
• Digital Root 5

Name

Name one billion three hundred five million one hundred eighteen thousand six

Interesting facts

• 1305118006 has 8 divisors, whose sum is 1957830840
• The reverse of 1305118006 is 6008115031
• Previous prime number is 23459

Basic properties

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