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

Find Amplitude, Period, and Phase Shift y=cos(-2x+pi)-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 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 .
Cancel the common factor of .
Cancel the common factor.
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 .
Cancel the common factor of .
Cancel the common factor.
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:
Dividing two negative values results in a positive value.
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 nine hundred thirty-one million one hundred sixteen thousand eight hundred sixty-three

Interesting facts

• 931116863 has 4 divisors, whose sum is 931969848
• The reverse of 931116863 is 368611139
• Previous prime number is 1093

Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 38
• Digital Root 2

Name

Name two hundred forty-two million ninety-six thousand seven hundred eighty-nine

Interesting facts

• 242096789 has 4 divisors, whose sum is 264105600
• The reverse of 242096789 is 987690242
• Previous prime number is 11

Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 47
• Digital Root 2

Name

Name eight hundred nine million five hundred ninety-three thousand eight hundred thirty-four

Interesting facts

• 809593834 has 8 divisors, whose sum is 1387875168
• The reverse of 809593834 is 438395908
• Previous prime number is 7

Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 49
• Digital Root 4