Question

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Answer 1

If the axes are interchanged, the graph becomes in such a way that the new graph is symmetric with the original graph about the line $y=x.$

After interchanging the axes, generally the graph $y=f(x)$ will become the graph $x=f(y).$

Three examples are given.

Consider the line $x=5.$ After interchanging axes, the new graph will be $y=5$ which is symmetric with the original line about $y=x.$ (Fig. 1)

Consider the curve $y=x^2.$ The new graph will be $x=y^2$ which is symmetric with the original one about $y=x.$ (Fig. 2)

Consider $y=\ln x.$ The new graph will be $x=\ln y$ or $y=e^x,$ which is symmetric with the original one about the line of symmetry $y=x.$ (Fig. 3)