Writing equations as functions in the form \(f(x)\) is useful when applying translations and reflections to graphs. If \(f(x) = x^2\), then \(f(x) + a = x^2 + a\). Here we are adding \(a\) to the ...

If \(f(x) = x^2\), then \(af(x) = a(x^2)\). This tells us that we need to multiply each of the \(y\) coordinates on the graph by \(a\) in order to stretch the original graph. Looking at some ...