In the following standard cases, \(a>1\). Replacing \(y\) controls a vertical scale; replacing \(x\) controls a horizontal scale.
Scale factor \(1/a\) parallel to the \(y\)-axis
\(y=\mathrm{f}(x)\)
\(y=\dfrac{\mathrm{f}(x)}{a}\)
Scale factor \(a\) parallel to the \(y\)-axis
\(y=\mathrm{f}(x)\)
\(y/a=\mathrm{f}(x)\iff y=a\mathrm{f}(x)\)
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