Can anyone explain to me why for the graph f(x) = 1/x,
af(x) and f(ax) is the same? And why -f(x) and f(-x) is the same? (though I suppose the reason for the reflections will be the same as for the ones with a scale factor)
Can anyone explain to me why for the graph f(x) = 1/x, af(x) and f(ax) is the same? And why -f(x) and f(-x) is the same? (though I suppose the reason for the reflections will be the same as for the ones with a scale factor)
In the first case they are not the same graph: $\displaystyle \frac{a}{x} \ne \frac{1}{{ax}}$.
In the second they are the same: $\displaystyle - \frac{1}{x} = \frac{1}{{ - x}}$