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Translating and Reflecting any graph

Translating and Reflecting any graph. I can graph a transformation of any graph accurately (shifting and translating). Need more notes?. www.seniormath.wikispaces.com This PowerPoint and some online help can be found on the webpage. Quick Review. Quick Review. Quick Review. Quick Review.

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Translating and Reflecting any graph

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  1. Translating and Reflecting any graph I can graph a transformation of any graph accurately (shifting and translating)

  2. Need more notes? www.seniormath.wikispaces.com This PowerPoint and some online help can be found on the webpage.

  3. Quick Review

  4. Quick Review

  5. Quick Review

  6. Quick Review

  7. Shifting Left/Right Shift Up/Down Shift Outside the parentheses (the function/equation) Same sign Example y=|x|+2 shifts up 2 • Inside the parentheses (the function/equation) • Opposite sign • Example y=|x+2| shift 2 left

  8. Reflecting Over the x-axis Over the y-axis Negative Inside the parentheses Example y=(-x) • Negative sign outside parentheses • Example y=-|x|

  9. Example Equation Description Left 2 Reflect over x-axis Down 6

  10. Beyond parent functions… We have only shifted and reflected parent functions, but we could transform ANY function (including a generic function we will call f(x) )

  11. Consider the graph y=f(x) Write an equation shifted up 2, right 3

  12. Consider the graph y=f(x) Graph the equation shifted up 2, right 3

  13. Consider the graph y=f(x) Write an equation reflected over the x-axis

  14. Consider the graph y=f(x) Graph the equation shifted up 2, right 3

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