Answer
(a) shift $f(x)$ right 2 units, shrink vertically by a factor of $\frac{1}{3}$, and shift up 5 units.
(b) shift $f(x)$ left 1 unit, stretch vertically by a factor of $4$ and shift up 3 units
Work Step by Step
(a) We can obtain $\frac{1}{3}f(x-2)+5$ by shifting $f(x)$ right 2 units, shrinking the graph vertically by a factor of $\frac{1}{3}$ and shifting the graph up 5 units.
(b) We can obtain $4f(x+1)+3$ by shifting $f(x)$ left 1 unit, stretching the graph vertically by a factor of $4$ and shifting the graph up 3 units.
