# Find Amplitude, Period, and Phase Shift y=1/4sin((4pix)/7+(2pi)/5)

Find Amplitude, Period, and Phase Shift y=1/4sin((4pix)/7+(2pi)/5)
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.
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
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:
Factor out of .
Phase Shift:
Factor out of .
Phase Shift:
Cancel the common factor.
Phase Shift:
Rewrite the expression.
Phase Shift:
Phase Shift:
Multiply and .
Phase Shift:
Simplify the expression.
Multiply by .
Phase Shift:
Multiply by .
Phase Shift:
Move the negative in front of the fraction.
Phase Shift:
Phase Shift:
Phase Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: ( to the left)
Vertical Shift: None
Do you know how to Find Amplitude, Period, and Phase Shift y=1/4sin((4pix)/7+(2pi)/5)? 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 five hundred sixty-one million nine hundred seven thousand two hundred seventy-eight

### Interesting facts

• 561907278 has 16 divisors, whose sum is 956439360
• The reverse of 561907278 is 872709165
• Previous prime number is 47

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 45
• Digital Root 9

### Name

Name one billion eight hundred million six hundred eighty-four thousand nine hundred ninety-five

### Interesting facts

• 1800684995 has 4 divisors, whose sum is 2160822000
• The reverse of 1800684995 is 5994860081
• Previous prime number is 5

### Basic properties

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

### Name

Name nine hundred twenty-eight million one hundred twenty-five thousand sixty

### Interesting facts

• 928125060 has 16 divisors, whose sum is 2227500288
• The reverse of 928125060 is 060521829
• Previous prime number is 15

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 33
• Digital Root 6