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Pre-calc section 4-3 Reflections and symmetry part II
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Describe any symmetry you notice
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Reflect over the y-axis
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Result of reflection
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Reflect over the line y=x
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Remember the name of each of these functions?
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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)
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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)
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Symmetry in the Origin
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Symmetry in just Y-axis
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Symmetry in just X-axis
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Symmetry both the X and Y axes
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For the relation given, complete the table xy -4 3 6
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Pre-calc section 4-3 Reflections and symmetry part II
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Describe any symmetry you notice
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Reflect over the y-axis
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Result of reflection
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Reflect over the line y=x
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Remember the name of each of these functions?
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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)
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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)
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Symmetry in the Origin
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Symmetry in just Y-axis
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Symmetry in just X-axis
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Symmetry both the X and Y axes
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For the relation given, complete the table xy -4 3 6
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Pre-calc section 4-3 Reflections and symmetry part II
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Describe any symmetry you notice
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Reflect over the y-axis
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Result of reflection
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Reflect over the line y=x
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Remember the name of each of these functions?
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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)
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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)
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Symmetry in the Origin
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Symmetry in just Y-axis
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Symmetry in just X-axis
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Symmetry both the X and Y axes
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For the relation given, complete the table xy -4 3 6
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For the relation given, complete the table xy -43 or -3 34 or -4 62 or -2
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Test each equation to see if it’s graph has symmetry
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Equation A, test for y-axis
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Equation A, test for origin
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A) Symmetry in origin only
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B) Symmetry in all 4 categories
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