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Transforming Functions

Transforming Functions. Part 1: Vertical Shifts. Review of Parent Graphs. Linear y = x Quadratic y = x 2 Cubic y = x 3 Absolute Value Y = IxI Square Root Y = √x Inverse Y = 1/x. Vertical Shift: Linear Functions. y = x + 2

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Transforming Functions

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  1. Transforming Functions Part 1: Vertical Shifts

  2. Review of Parent Graphs • Linear • y = x • Quadratic • y = x2 • Cubic • y = x3 • Absolute Value • Y = IxI • Square Root • Y = √x • Inverse • Y = 1/x

  3. Vertical Shift: Linear Functions • y = x + 2 • y = x – 3 http://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.html

  4. Vertical Shift: Quadratic Functions • y = x2 + 1 • y = x2 – 4http://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.html

  5. Vertical Shift: Cubic Functions • y = x3 + 5 • y = x3 – 2http://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.html

  6. Vertical Shift: Absolute Value Functions • y = IxI + 3 • y = IxI – 5http://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.html

  7. Vertical Shift: Square Root • y = √x + 2 • y = √x – 3http://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.html

  8. Vertical Shift: Linear Functions • y = 1/x + 3 • y = 1/x – 2 http://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.html

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