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Warm Up (5 Minutes)

Warm Up (5 Minutes). Graph the following points/lines… and their respective transformations:. (-2,-2); Translated: Vertically 4, Horizontally -3 ( 1,3); Translated: Vertically -2, Horizontally 2 Transformed: Vertically -1, Horizontally 2, Increase slope by a factor of 1.5.

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Warm Up (5 Minutes)

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  1. Warm Up (5 Minutes) Graph the following points/lines… and their respective transformations: (-2,-2); Translated: Vertically 4, Horizontally -3 ( 1,3); Translated: Vertically -2, Horizontally 2 Transformed: Vertically -1, Horizontally 2, Increase slope by a factor of 1.5

  2. 4.1.2 How Can I Shift a Parabola • Learning targets for today: • How can I shift a Parabola… • Vertically? • Horizontally? • Reflect over x-axis? • Compress/Stretch the graph? • Vertex Form of a Quadratic

  3. Parent Function: Quadratic We are going to be using the following equation of to compare and contrast other quadratics is a standard quadratic with its vertex at the origin and commonly referred to as a parabola Vertex: (0,0)

  4. Parent Function: Quadratic How can we transform this function of: In our table groups we are going to fill out the rules for each transformation…

  5. Horizontally…

  6. Horizontally…

  7. Horizontally… You tell me…

  8. Vertically…

  9. Vertically…

  10. Vertically… You tell me...

  11. Reflect over the x-axis…

  12. Reflect over the x-axis…

  13. Vertical Compress/Stretch…

  14. What does a Vertical Compress/Stretch look like? Compress Stretch

  15. Vertical Compress/Stretch • A quadratic will have a normal shaped curve when • A quadratic will compress by a factor of when • A quadratic will stretch by a factor of when

  16. Final Table!!!

  17. Combining It All… Vertical Shift Horizontal Shift (opposite value) Compress/Stretch Factor Stretch if: (if is negative it will reflect over the x-axis)

  18. Vertex Form This equation is known as the vertex form of a quadratic!!! We call it this because it clearly gives us the vertex of its parabola : x-axis location : y-axis location

  19. What is the function?

  20. What is the function? You tell me...

  21. Going from equation to graph Graph these equations and label the vertex:

  22. Homework I will make a worksheet that relates to the lesson terminology and processes.

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