# Graph y=-tan(x-1)

Graph y=-tan(x-1)
Find the asymptotes.
For any , vertical asymptotes occur at , where is an integer. Use the basic period for , , to find the vertical asymptotes for . Set the inside of the tangent function, , for equal to to find where the vertical asymptote occurs for .
Add to both sides of the equation.
Set the inside of the tangent function equal to .
Add to both sides of the equation.
The basic period for will occur at , where and are vertical asymptotes.
Find the period to find where the vertical asymptotes exist.
The absolute value is the distance between a number and zero. The distance between and is .
Divide by .
The vertical asymptotes for occur at , , and every , where is an integer.
Tangent only has vertical asymptotes.
No Horizontal Asymptotes
No Oblique Asymptotes
Vertical Asymptotes: where is an integer
No Horizontal Asymptotes
No Oblique Asymptotes
Vertical Asymptotes: where is an integer
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 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 .
Divide by .
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:
Find the vertical shift .
Vertical Shift:
List the properties of the trigonometric function.
Amplitude: None
Period:
Phase Shift: ( to the right)
Vertical Shift:
The trig function can be graphed using the amplitude, period, phase shift, vertical shift, and the points.
Vertical Asymptotes: where is an integer
Amplitude: None
Period:
Phase Shift: ( to the right)
Vertical Shift:
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### Name

Name one billion seven hundred eighty-four million ten thousand seven hundred sixty-one

### Interesting facts

• 1784010761 has 4 divisors, whose sum is 1921242372
• The reverse of 1784010761 is 1670104871
• Previous prime number is 13

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 35
• Digital Root 8

### Name

Name one billion three hundred ninety-eight million seven hundred eighty-eight thousand seventy-six

### Interesting facts

• 1398788076 has 64 divisors, whose sum is 4950558720
• The reverse of 1398788076 is 6708878931
• Previous prime number is 31

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 57
• Digital Root 3

### Name

Name six hundred sixty-one million four hundred twenty-five thousand four hundred one

### Interesting facts

• 661425401 has 4 divisors, whose sum is 668693904
• The reverse of 661425401 is 104524166
• Previous prime number is 91

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 29
• Digital Root 2