Horizontal Scaling
Horizontal Scaling
In the following standard cases, \(a>1\). Replacing \(y\) controls a vertical scale; replacing \(x\) controls a horizontal scale. The diagrams illustrate \(\mathrm{f}(x)=\sin x\) with \(a=2\).
Scale factor \(1/a\) parallel to the \(x\)-axis
\(y=\mathrm{f}(x)\)
\(y=\mathrm{f}(ax)\)
Scale factor \(a\) parallel to the \(x\)-axis
\(y=\mathrm{f}(x)\)
\(y=\mathrm{f}(x/a)\)
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