1. Lesson 4-3 Reflecting Graphs: Symmetry

2. Use your grapher to sketch the following:

19. Reflections over the x-axis:

20. A graph is a reflection over the x-axis if all (x, y) can be paired to (x, -y).

21. Reflections over the y-axis:

22. A graph is a reflection over the y-axis if all (x, y) can be paired to (-x, y).

23. Reflections over the line y = x:

24. A graph is a reflection over the line y = x if all (x, y) can be paired to (y, x).

25. Reflections over the origin:

26. A graph is a reflection in the origin if all (x, y) can be paired to (-x, -y).

27. Use symmetry to sketch the graph of:

28. Think: Could you graph y = x 4 ?

29. Use symmetry to sketch the graph of: Think: Could you graph y = x 4 ? So, first trade places with x and y then solve for y.

30. Use symmetry to sketch the graph of: x 4 = y + 1, solve for y

31. Use symmetry to sketch the graph of: x 4 = y + 1, solve for y x 4 – 1 = y

32. Use symmetry to sketch the graph of: Graph and then let every (x, y) become (y, x).

33. Use symmetry to sketch the graph of: Graph and then let every (x, y) become (y, x).

34. Line of symmetry:

35. A line that is the perpendicular bisector of any segment joining any pair of corresponding points.

36. Point of symmetry:

37. A point 0 such that it is possible to pair the points of the graph in such a way that 0 is the midpoint of the segment joining each pair.

38. For quadratics:

39. Axis of symmetry -

40. For cubics:

41. Point of symmetry -

42. Assignment: Pgs. 135-137 C.E.  1-8 all, W.E.  1-19 odd