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

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Presentation transcript:

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

Describe any symmetry you notice

Reflect over the y-axis

Result of reflection

Reflect over the line y=x

Remember the name of each of these functions?

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)

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)

Symmetry in the Origin

Symmetry in just Y-axis

Symmetry in just X-axis

Symmetry both the X and Y axes

For the relation given, complete the table xy

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

Describe any symmetry you notice

Reflect over the y-axis

Result of reflection

Reflect over the line y=x

Remember the name of each of these functions?

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)

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)

Symmetry in the Origin

Symmetry in just Y-axis

Symmetry in just X-axis

Symmetry both the X and Y axes

For the relation given, complete the table xy

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

Describe any symmetry you notice

Reflect over the y-axis

Result of reflection

Reflect over the line y=x

Remember the name of each of these functions?

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)

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)

Symmetry in the Origin

Symmetry in just Y-axis

Symmetry in just X-axis

Symmetry both the X and Y axes

For the relation given, complete the table xy

For the relation given, complete the table xy -43 or or or -2

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

Equation A, test for y-axis

Equation A, test for origin

A) Symmetry in origin only

B) Symmetry in all 4 categories