A reflection flips a graph over a specific axis. It changes the orientation of the graph but retains its shape and size. Reflections are commonly applied over the x-axis or y-axis depending on the transformation rule.
Types of Reflections
\( g(x) = f(-x) \): Reflection across the y-axis. Each x-coordinate becomes its opposite.
\( h(x) = -f(x) \): Reflection across the x-axis. Each y-coordinate becomes its opposite.
The graph's general shape remains intact but is flipped across the specified axis.
Applications
Used in computer graphics to mirror images and designs.
Appears in solving equations involving symmetry.
Relevant in physics when analyzing wave interference or motion reversal.
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