# Find Amplitude, Period, and Phase Shift y=2cos(3x-pi)+4 ?

Find Amplitude, Period, and Phase Shift y=2cos(3x-pi)+4 ?
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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 .
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 .
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:
Phase Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: ( to the right)
Vertical Shift:
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### Name

Name one billion nine hundred three million two hundred forty-seven thousand three hundred eighty-two

### Interesting facts

• 1903247382 has 8 divisors, whose sum is 3806494776
• The reverse of 1903247382 is 2837423091
• Previous prime number is 3

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 39
• Digital Root 3

### Name

Name two hundred forty-seven million five hundred sixty-one thousand one hundred fifty-four

### Interesting facts

• 247561154 has 16 divisors, whose sum is 385673400
• The reverse of 247561154 is 451165742
• Previous prime number is 37

### Basic properties

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

### Name

Name one billion five hundred twenty-three million one hundred fifty-three thousand seven hundred twenty-four

### Interesting facts

• 1523153724 has 32 divisors, whose sum is 4582642176
• The reverse of 1523153724 is 4273513251
• Previous prime number is 347

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 33
• Digital Root 6