Describe two different transformations, each of which would map the graph of $y = \frac{1}{x}$ ont

Question

Describe two different transformations, each of which would map the graph of $y = \frac{1}{x}$ onto the graph of $y = \frac{1}{2x}$, the graph of $y = x^2$ onto the graph of $y = 4x^2$.

Accepted Answer

(a) scaling by factor $\dfrac12$ parallel to the $x$-axis, or scaling by factor $\dfrac12$ parallel to the $y$-axis (b) scaling by factor $\dfrac12$ parallel to the $x$-axis, or scaling by factor $4$ parallel to the $y$-axis

Transformations of Graphs - Translations, Reflections and Scalings of Graphs

Transformations of Graphs - Translations, Reflections and Scalings of Graphs

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