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Section 4.6 Notes

Section 4.6 Notes. Given: y = a tan b ( x − c ) + d a = vertical stretch ( a > 1) or vertical shrink (0 < a < 1) c : phase shift d : vertical shift period =. Instead of increments, we now have asymptotes (must have at least 3 asymptotes).

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Section 4.6 Notes

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  1. Section 4.6 Notes

  2. Given: y = atan b(x − c) + d • a = vertical stretch (a > 1) or vertical shrink (0 < a< 1) • c: phase shift • d: vertical shift • period =

  3. Instead of increments, we now have asymptotes (must have at least 3 asymptotes). • To find asymptotes, set b(x – c) = radian measures where tangent is undefined on the unit circle and solve for x. • To find a point on the graph go halfway between two asymptotes. The is a zero point.

  4. -/2 /2 3/2 y = tan x period = 

  5. Examples

  6. vertical stretch or shrink period = _________ phase shift = _________ • vertical shift = _________

  7. equations of asymptotes:

  8. vertical stretch or shrink period = _________ phase shift = _________ • vertical shift = _________ • reflectionover the x-axis

  9. : equations of asymptotes:

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