A horizontal shift changes the position of a graph left or right on the coordinate plane. It is represented by the transformation:
\[
g(x) = f(x - C)
\]
where \( C \) is a constant.
How It Works
If \( C > 0 \), the graph shifts to the right by \( C \) units.
If \( C < 0 \), the graph shifts to the left by \( |C| \) units.
The shape and size of the graph remain unchanged — only the position along the x-axis is altered.
Applications
Used in graph transformations for functions and equations.
Important in modeling time delays or advances in physics and engineering.
Common in wave function manipulations and animations.
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