(a) The graph of $y = f(2 x)$ is the graph of $y = f(x)$

scaled horizontally		choose the scaling factor by compression by a factor of 5 by compression by a factor of 4 by compression by a factor of 3 by compression by a factor of 2 no horizontal scaling by expansion by a factor of 2 by expansion by a factor of 3 by expansion by a factor of 4 by expansion by a factor of 5 and
scaled vertically		choose the scaling factor by compression by a factor of 5 by compression by a factor of 4 by compression by a factor of 3 by compression by a factor of 2 no vertical scaling by expansion by a factor of 2 by expansion by a factor of 3 by expansion by a factor of 4 by expansion by a factor of 5 .

(b) The graph of $y = 4 f(x)$ is the graph of $y = f(x)$

scaled horizontally		choose the scaling factor by compression by a factor of 5 by compression by a factor of 4 by compression by a factor of 3 by compression by a factor of 2 no horizontal scaling by expansion by a factor of 2 by expansion by a factor of 3 by expansion by a factor of 4 by expansion by a factor of 5 and
scaled vertically		choose the scaling factor by compression by a factor of 5 by compression by a factor of 4 by compression by a factor of 3 by compression by a factor of 2 no vertical scaling by expansion by a factor of 2 by expansion by a factor of 3 by expansion by a factor of 4 by expansion by a factor of 5 .

(c) The graph of $y = 5 f(2 x)$ is the graph of $y = f(x)$

scaled horizontally		choose the scaling factor by compression by a factor of 5 by compression by a factor of 4 by compression by a factor of 3 by compression by a factor of 2 no horizontal scaling by expansion by a factor of 2 by expansion by a factor of 3 by expansion by a factor of 4 by expansion by a factor of 5 and
scaled vertically		choose the scaling factor by compression by a factor of 5 by compression by a factor of 4 by compression by a factor of 3 by compression by a factor of 2 no vertical scaling by expansion by a factor of 2 by expansion by a factor of 3 by expansion by a factor of 4 by expansion by a factor of 5 .

(d) The graph of $y = \frac{1}{4} f\left( \frac{x}{5} \right)$ is the graph of $y = f(x)$

scaled horizontally		choose the scaling factor by compression by a factor of 5 by compression by a factor of 4 by compression by a factor of 3 by compression by a factor of 2 no horizontal scaling by expansion by a factor of 2 by expansion by a factor of 3 by expansion by a factor of 4 by expansion by a factor of 5 and
scaled vertically		choose the scaling factor by compression by a factor of 5 by compression by a factor of 4 by compression by a factor of 3 by compression by a factor of 2 no vertical scaling by expansion by a factor of 2 by expansion by a factor of 3 by expansion by a factor of 4 by expansion by a factor of 5 .