How do we graph transformations that are reflections?

The Transformation Reflection is when a figure is reflected over the y-axis or  the x-axis. In Geometry there are two types of reflections, the first one is Reflectional Symmetry and the other one is Line Symmetry. 

Reflectional Symmetry: this type of symmetry is when the figure can be evenly divided through the middle. This means that it is the same exact size on both side. 

Line Symmetry: this symmetry is when the figure is transformed to the other side of the axis and creates a mirror image. 

In Reflection there are two rules. One is for the x-axis and the other is for the y-axis...


X-Axis: (x,y)------>(x,-y)
Y-Axis: (x,y)------>(-x,y)

How do we identify transformations?

A transformation is when a geometric shape is moved on a graph. These transformations can be identified four different ways. These ways include: Translaton, Reflection, Rotaion, and Dialation.

Translation: When a figure is translated, the geometric shape is simply moved the same distance from the axis line to the opposite side.

Reflection: The figure is relected over the line of symmetry or you simply count how many spaces the figure is away from the axis line.

Rotation: The figure is only turned around at a single point. its moved by degrees. 

Dialation: Last but not least, Dialation is when the size of the figure is either enlarged or reduced.