Answer
(a) reflect $f(x)$ about $x$-axis and shift graph up 5 units
(b) stretch $f(x)$ vertically by a factor of $3$ and move graph down 5 units
Work Step by Step
(a) We can obtain $-f(x)+5$ by reflecting the graph of $f(x)$ about the $x$-axis and shifting the graph up 5 units.
(b) We can obtain $3f(x)-5$ by stretching the graph of $f(x)$ vertically by a factor of 3 and shifting the graph down 5 units.
