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Solve.

Solve. Graphing Calculators. Graphic Organizer for Transformations. Transformations of graphs. Topic:. What is it?. Shifting, stretching, shrinking, and reflecting of parent graphs. Vertical or Horizontal shift. Vertical Stretch or Shrink. Types:. Reflection. Add outside.

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Solve.

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  1. Solve.

  2. Graphing Calculators

  3. Graphic Organizer for Transformations

  4. Transformations of graphs Topic: What is it? Shifting, stretching, shrinking, and reflecting of parent graphs Vertical or Horizontal shift Vertical Stretch or Shrink Types: Reflection Add outside Multiply by Fraction (less than 1) Multiply by negative (-) up MOVES _______________ Causes the graph to _____________________ _____________________ Causes the graph to ____________________ Reflect across the x-axis (flip) Subtract outside Shrink vertically down MOVES _______________ Examples Multiply by integer Add inside left Causes the graph to ____________________ MOVES _____________ Stretch vertically Subtract inside right MOVES _____________

  5. Transformations

  6. General Form for Absolute Value Vertex Form for Quadratics

  7. What does a do? • If a is negative, the graph flips down. • If a is positive, the graph opens up.

  8. What does a do? • If |a|> 1, the graph stretches vertically. • If |a|< 1, the graph shrinks vertically.

  9. Tell whether the graph of the function opens up or flip down and if it shrinks or stretches. Flip down & stretch Opens up & stretch Opens up & shrink Flips down & stretch Flips down

  10. What does h do? • If h is positive, graph moves left. • If h is negative, graph moves right. • h is tricky, it is the opposite sign of what you see.

  11. What does k do? • If k is positive, graph moves up. • If k is negative, graph moves down.

  12. Describe the transformations(opens up/flip down, stretch/shrink, move left/right, move up/down,). Flip down, stretch, Move left 3, down 5, Flip down, stretch, Right 1, up 6, Open up, shrink, Right 2, up 9, Open up, shrink, Down 2, Open up, stretch, Left 1, down 2,

  13. VERTEX is (h, k) How do you find the vertex? h is TRICKY, he is the opposite sign of what you see.

  14. Identify the vertex of the graph of the given function. (0, -3) (1, 2) (-3, -5) (7, -2) (-3, 0)

  15. Home Work • WS Transformations • Identify the function’s parent name • Describe the transformation (up/down, left/right, stretch/shrink)…be sure to include the number of units • Find the vertex • Tell the domain and range

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