# Find Amplitude, Period, and Phase Shift f(x)=3tan(4x+pi)

Find Amplitude, Period, and Phase Shift f(x)=3tan(4x+pi)
Use the form to find the variables used to find the amplitude, period, phase shift, and vertical shift.
Since the graph of the function does not have a maximum or minimum value, there can be no value for the amplitude.
Amplitude: None
Find the period using the formula .
The period of the function can be calculated using .
Period:
Replace with in the formula for period.
Period:
The absolute value is the distance between a number and zero. The distance between and is .
Period:
Period:
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:
Find the vertical shift .
Vertical Shift:
List the properties of the trigonometric function.
Amplitude: None
Period:
Phase Shift: ( to the left)
Vertical Shift:
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### Name

Name twenty-three million six hundred thousand six hundred fourteen

### Interesting facts

• 23600614 has 4 divisors, whose sum is 35400924
• The reverse of 23600614 is 41600632
• Previous prime number is 2

### Basic properties

• Is Prime? no
• Number parity even
• Number length 8
• Sum of Digits 22
• Digital Root 4

### Name

Name one billion three hundred sixty-five million two hundred twenty-two thousand eight hundred eighty-six

### Interesting facts

• 1365222886 has 4 divisors, whose sum is 2047834332
• The reverse of 1365222886 is 6882225631
• Previous prime number is 2

### Basic properties

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

### Name

Name one billion one hundred sixty-two million ninety-five thousand eight hundred five

### Interesting facts

• 1162095805 has 16 divisors, whose sum is 1502779824
• The reverse of 1162095805 is 5085902611
• Previous prime number is 1777

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 37
• Digital Root 1