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Transformations of Tan, Cot, Sec, Csc Graphs

Transformations of Tan, Cot, Sec, Csc Graphs. Example 3: y=2tan(x+ π )-1. Identify the following and then graph: Amplitude = New period = (We’re graphing 2 periods of tan) Phase shift = Start = End = Vertical shift =. 2. 2 π /b = 2 π /1 = 2 π. Left π. - π.

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Transformations of Tan, Cot, Sec, Csc Graphs

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  1. Transformations of Tan, Cot, Sec, Csc Graphs

  2. Example 3: y=2tan(x+π)-1 • Identify the following and then graph: • Amplitude = • New period = (We’re graphing 2 periods of tan) • Phase shift = • Start = • End = • Vertical shift = 2 2π/b = 2π/1 = 2π Left π - π Start + new pd = -π+ 2π = π down 1

  3. Example 4: y= - csc(x-π/4)+2 • Identify the following and then graph: • Amplitude = • New period = • Phase shift = • Start = • End = • Vertical shift = -1 2π/b = 2π/1 = 2π Right π/4 π/4 Start + new pd = π/4+ 2 π = 5π/4 up 2

  4. Example 5: y= 1/2sec1/4(x-π/4) • Identify the following and then graph: • Amplitude = • New period = • Phase shift = • Start = • End = • Vertical shift = 1/2 2π/b = 2π/1/4 = 8π Right π/4 π/4 Start + new pd = π/4+ 8 π = 33π/4 0

  5. Example 6: y= 2cot(x+π/4)+1 • Identify the following and then graph: • Amplitude = • New period = (We’re graphing 2 periods of cot) • Phase shift = • Start = • End = • Vertical shift = 2 2π/b = 2π/1 = 2π Left π/4 - π/4 Start + new pd = -π/4+ 2 π = 7π/4 up 1

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