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

Find Amplitude, Period, and Phase Shift y=-2cos(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:
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:
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Name

Name one billion two hundred seventy-one million five hundred forty-eight thousand three hundred sixty-three

Interesting facts

• 1271548363 has 4 divisors, whose sum is 1276496280
• The reverse of 1271548363 is 3638451721
• Previous prime number is 257

Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 40
• Digital Root 4

Name

Name six hundred five million two hundred forty-six thousand five hundred fifty-five

Interesting facts

• 605246555 has 16 divisors, whose sum is 750276864
• The reverse of 605246555 is 555642506
• Previous prime number is 37

Basic properties

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

Name

Name one billion one hundred ninety million three hundred thirty-nine thousand eight hundred seventy-nine

Interesting facts

• 1190339879 has 4 divisors, whose sum is 1212799176
• The reverse of 1190339879 is 9789330911
• Previous prime number is 53

Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 50
• Digital Root 5