Graphing Functions and Their Transformations
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This document discusses functions and their transformations. It introduces the basic linear function y=mx+b, and how changing the slope m or y-intercept b affects the graph. It then demonstrates how transformations like shifting the graph along the x- or y-axis, stretching or shrinking, and reflections change the function. Finally, it briefly covers quadratic, cubic, logarithmic, and exponential functions, and challenges the reader to match equation and graph.
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- 6. The Basic Line M changes y=2x+0
- 7. The Basic Line Moving on the x-axis y=(x+2)+0 The graph moves to the left 2 points
- 8. The Basic Line Combining changes y=2(x-1)-2 The graph moves to the right 1 points and down 2 points
- 9. Matching y=x y=x+2 y=2(x+2) y=-1(x-2)
- 11. x3
- 12. logx
- 17. Matching What is each graph’s equation? logx ex x2 x3
- 18. Transformation Rules Apply to any type of graph y=x2+2 y=-1(x+2)2
- 19. Citations Graphs provided from Apple Grapher Utility
Editor's Notes
- Y position changes
- Slope changes
- X position changes