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Unit 5a Graphing Quadratics

Unit 5a Graphing Quadratics. Transformations of Quadratics in Vertex Form. Vertex Form for Quadratics. f(x) = a(x – h) 2 + k. f(x) = a(x – h) 2 + k. h is TRICKY! If h is POSITIVE then the graph moves LEFT. If h is NEGATIVE then the graph moves RIGHT. Axis of Symmetry: x = h

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Unit 5a Graphing Quadratics

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  1. Unit 5aGraphing Quadratics

  2. Transformations of Quadraticsin Vertex Form

  3. Vertex Form for Quadratics f(x) = a(x – h)2 + k

  4. f(x) = a(x – h)2 + k h is TRICKY! If h is POSITIVE then the graph moves LEFT. If h is NEGATIVE then the graph moves RIGHT. Axis of Symmetry: x = h Special Case If x is NEGATIVE inside then the graph reflects across the y-axis and h takes the sign you see. If a is NEGATIVE then the graph reflects across the x-axis. If |a| is less than 1, the graph SHRINKS. If |a| is greater than 1 the graph STRETCHES. If k is POSITIVE then the graph moves UP. If k is NEGATIVE then the graph moves DOWN. Vertex: (h, k)

  5. NEGATIVE on the INside, what does this cause the graph to do? Reflect across the y (h will be the same as it’s sign) “y” am I in here

  6. NEGATIVE on the OUTside, what does this cause the graph to do? Reflect across the x X escaped

  7. Number less than 1 outside, what does this cause the graph to do? Shrink by 3/4

  8. Number greater than 1 outside, what does this cause the graph to do? Stretch by 8

  9. Add on the inside, what does this cause the graph to do? Move LEFT 2

  10. Subtract on the inside, what does this cause the graph to do? Move RIGHT 7

  11. Subtract on the outside, what does this cause the graph to do? Move Down 3

  12. Add on the outside, what does this cause the graph to do? Move Up 5

  13. DESCRIBE THE TRANSFORMATION

  14. Write the equation of the pink graph

  15. What’s the Domain?What’s the Range?

  16. What’s the Domain?What’s the Range?

  17. Class Work/Homework Vertex Form of a Quadratic WS

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