Graphing Functions and Their Transformations

1. Graphing Functions and Their TransformationsBy: Chris Zachow

2. The Basic Liney=mx+bm – the slope of the graph.

3. x – the place on the x axis.

4. b – the position on the y axisThe Basic Liney=mx+b

5. The Basic LineB changesy=1x+2

6. The Basic LineM changesy=2x+0

7. The Basic LineMoving on the x-axisy=(x+2)+0The graph moves to the left 2 points

8. The Basic LineCombining changesy=2(x-1)-2The graph moves to the right 1 points and down 2 points

9. Matchingy=xy=x+2y=2(x+2)y=-1(x-2)

10. Other Graphsx2

11. x3

12. logx

13. exParabolay=x2

14. Other Graphsy=x3

15. Other Graphsy=logx

16. Other Graphsy=ex

17. MatchingWhat is each graph’s equation?logxexx2x3

18. Transformation RulesApply to any type of graphy=x2+2y=-1(x+2)2

19. CitationsGraphs provided from Apple Grapher Utility

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