# Find Amplitude, Period, and Phase Shift y=1/7sin(6x)-3

Find Amplitude, Period, and Phase Shift y=1/7sin(6x)-3
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 and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
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 and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
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:
Divide by .
Phase Shift:
Phase Shift:
List the properties of the trigonometric function.
Amplitude:
Period:
Phase Shift: None
Vertical Shift:
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### Name

Name one billion six hundred eighty-eight million six hundred forty-four thousand fifty-seven

### Interesting facts

• 1688644057 has 8 divisors, whose sum is 1779377600
• The reverse of 1688644057 is 7504468861
• Previous prime number is 967

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 49
• Digital Root 4

### Name

Name seven hundred forty-six million six hundred sixty thousand five hundred ninety-three

### Interesting facts

• 746660593 has 8 divisors, whose sum is 882751680
• The reverse of 746660593 is 395066647
• Previous prime number is 29

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 46
• Digital Root 1

### Name

Name one billion eight hundred eighty-four million six hundred forty-four thousand eight hundred ninety-three

### Interesting facts

• 1884644893 has 4 divisors, whose sum is 1928473888
• The reverse of 1884644893 is 3984464881
• Previous prime number is 43

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 55
• Digital Root 1