Graph y=-tan(x-1)

Graph y=-tan(x-1)
Find the asymptotes.
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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.
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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 .
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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 .
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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 sixty-four million nine hundred sixty-five thousand nine hundred twelve

Interesting facts

  • 1764965912 has 16 divisors, whose sum is 5956759980
  • The reverse of 1764965912 is 2195694671
  • Previous prime number is 2

Basic properties

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

Name

Name eighty-six million three hundred twenty-two thousand nine hundred sixty-three

Interesting facts

  • 86322963 has 8 divisors, whose sum is 115231168
  • The reverse of 86322963 is 36922368
  • Previous prime number is 883

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 8
  • Sum of Digits 39
  • Digital Root 3

Name

Name one billion one hundred six million four hundred twenty thousand seven hundred thirty-five

Interesting facts

  • 1106420735 has 16 divisors, whose sum is 1734145536
  • The reverse of 1106420735 is 5370246011
  • Previous prime number is 7

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 29
  • Digital Root 2