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Pre-calc section 4-3 Reflections and symmetry part II.

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Presentation on theme: "Pre-calc section 4-3 Reflections and symmetry part II."— Presentation transcript:

1 Pre-calc section 4-3 Reflections and symmetry part II

2 Describe any symmetry you notice

3

4

5

6

7

8 Reflect over the y-axis

9 Result of reflection

10 Reflect over the line y=x

11 Remember the name of each of these functions?

12 Using symmetry If the graph shown is part of a relation which has symmetry in the origin, Copy the graph, then sketch in the complete graph. Points on the graph incluced (5,0),(3,3),(2,4),and(1,8)

13 Using symmetry If the graph shown is part of a relation which has symmetry in the X and Y axes, Copy the graph, then sketch in the complete graph. Points on the graph incluced (5,0),(3,3),(2,4),and(1,8)

14 Symmetry in the Origin

15 Symmetry in just Y-axis

16 Symmetry in just X-axis

17 Symmetry both the X and Y axes

18 For the relation given, complete the table xy -4 3 6

19

20 Pre-calc section 4-3 Reflections and symmetry part II

21 Describe any symmetry you notice

22

23

24

25

26

27 Reflect over the y-axis

28 Result of reflection

29 Reflect over the line y=x

30 Remember the name of each of these functions?

31 Using symmetry If the graph shown is part of a relation which has symmetry in the origin, Copy the graph, then sketch in the complete graph. Points on the graph incluced (5,0),(3,3),(2,4),and(1,8)

32 Using symmetry If the graph shown is part of a relation which has symmetry in the X and Y axes, Copy the graph, then sketch in the complete graph. Points on the graph incluced (5,0),(3,3),(2,4),and(1,8)

33 Symmetry in the Origin

34 Symmetry in just Y-axis

35 Symmetry in just X-axis

36 Symmetry both the X and Y axes

37 For the relation given, complete the table xy -4 3 6

38

39 Pre-calc section 4-3 Reflections and symmetry part II

40 Describe any symmetry you notice

41

42

43

44

45

46 Reflect over the y-axis

47 Result of reflection

48 Reflect over the line y=x

49 Remember the name of each of these functions?

50 Using symmetry If the graph shown is part of a relation which has symmetry in the origin, Copy the graph, then sketch in the complete graph. Points on the graph incluced (5,0),(3,3),(2,4),and(1,8)

51 Using symmetry If the graph shown is part of a relation which has symmetry in the X and Y axes, Copy the graph, then sketch in the complete graph. Points on the graph incluced (5,0),(3,3),(2,4),and(1,8)

52 Symmetry in the Origin

53 Symmetry in just Y-axis

54 Symmetry in just X-axis

55 Symmetry both the X and Y axes

56 For the relation given, complete the table xy -4 3 6

57 For the relation given, complete the table xy -43 or -3 34 or -4 62 or -2

58 Test each equation to see if it’s graph has symmetry

59 Equation A, test for y-axis

60 Equation A, test for origin

61 A) Symmetry in origin only

62 B) Symmetry in all 4 categories


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