# Find Amplitude, Period, and Phase Shift y=2/3cos((x-3)/4)+1

Find Amplitude, Period, and Phase Shift y=2/3cos((x-3)/4)+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.
is approximately which is positive so remove the absolute value
Multiply the numerator by the reciprocal of the denominator.
Multiply by .
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 .
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:
Multiply the numerator by the reciprocal of the denominator.
Phase Shift:
Cancel the common factor of .
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 right)
Vertical Shift:
Do you know how to Find Amplitude, Period, and Phase Shift y=2/3cos((x-3)/4)+1? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

### Name

Name one billion one hundred sixty-seven million three hundred seventeen thousand two hundred seventy-one

### Interesting facts

• 1167317271 has 8 divisors, whose sum is 1729358960
• The reverse of 1167317271 is 1727137611
• Previous prime number is 9

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 36
• Digital Root 9

### Name

Name one billion seven hundred sixty-nine million sixty-eight thousand five hundred ninety-seven

### Interesting facts

• 1769068597 has 4 divisors, whose sum is 1769998176
• The reverse of 1769068597 is 7958609671
• Previous prime number is 1907

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 58
• Digital Root 4

### Name

Name one billion six hundred fifty million two hundred eighty-seven thousand six hundred fifty-three

### Interesting facts

• 1650287653 has 16 divisors, whose sum is 1965948544
• The reverse of 1650287653 is 3567820561
• Previous prime number is 67

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 43
• Digital Root 7