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FUNCTIONS: TRANSFORMATIONS

FUNCTIONS: TRANSFORMATIONS. WHICH TRANSFORMATIONS DO YOU KNOW?. WHICH TRANSFORMATIONS DO YOU KNOW?. ROTATION. ROTATION. WHICH TRANSFORMATIONS DO YOU KNOW?. ROTATION. ROTATION. WHICH TRANSFORMATIONS DO YOU KNOW?. ROTATION. TRANSLATION. ROTATION.

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FUNCTIONS: TRANSFORMATIONS

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  1. FUNCTIONS: TRANSFORMATIONS

  2. WHICH TRANSFORMATIONS DO YOU KNOW?

  3. WHICH TRANSFORMATIONS DO YOU KNOW? • ROTATION

  4. ROTATION WHICH TRANSFORMATIONS DO YOU KNOW? • ROTATION

  5. ROTATION WHICH TRANSFORMATIONS DO YOU KNOW? • ROTATION • TRANSLATION

  6. ROTATION WHICH TRANSFORMATIONS DO YOU KNOW? • ROTATION • TRANSLATION • TRANSLATION

  7. ROTATION WHICH TRANSFORMATIONS DO YOU KNOW? • ROTATION • TRANSLATION • REFLECTION • TRANSLATION

  8. ROTATION WHICH TRANSFORMATIONS DO YOU KNOW? • ROTATION • TRANSLATION • REFLECTION • NOITCELFER • TRANSLATION

  9. ROTATION WHICH TRANSFORMATIONS DO YOU KNOW? • ROTATION • TRANSLATION • REFLECTION • NOITCELFER • ENLARGEMENT • TRANSLATION

  10. ROTATION WHICH TRANSFORMATIONS DO YOU KNOW? • ROTATION • TRANSLATION • REFLECTION • NOITCELFER • ENLARGEMENT • TRANSLATION • ENLARGEMENT

  11. What does this have To do with Functions??

  12. Withthe use of your GDC, graph:

  13. What do younotice???? Whattype of transformations do youhave ????

  14. Withthe use of your GDC, graph: TRANSLATIONS!!!!

  15. A HORIZONTAL translation takestheform: Series 1: Series 2:

  16. A VERTICAL translation takestheform: Series 1: Series 2:

  17. y = f ( x – a ): translation of f(x)alongthe x – axis of a unitstothe RIGHT. • y = f ( x + a ): translation of f(x)alongthe x – axis of a unitstothe LEFT. • y = f ( x ) + a: translation of f(x)alongthe y – axis of a units UP. • y = f ( x ) – a: translation of f(x)alongthe y – axis of a units DOWN.

  18. A REFLECTION aboutthe x - axis: Series 1: Series 2:

  19. A REFLECTION aboutthe x - axis: Series 1: Series 2:

  20. A REFLECTION aboutthe line y = x

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