Question 17
The functions f and g are defined by
$\mathrm{f}(x) = \sqrt{x}$ for $x \geqslant 0$,
$\mathrm{g}(x) = 3\sqrt{x + 2} - 5$ for $x \geqslant -2$.
**(a)** Describe fully a sequence of transformations which transforms the graph of $y = \mathrm{f}(x)$ to the graph of $y = \mathrm{g}(x)$. You should make clear the order in which the transformations are applied.
$\mathrm{f}(x) = \sqrt{x}$ for $x \geqslant 0$,
$\mathrm{g}(x) = 3\sqrt{x + 2} - 5$ for $x \geqslant -2$.
**(a)** Describe fully a sequence of transformations which transforms the graph of $y = \mathrm{f}(x)$ to the graph of $y = \mathrm{g}(x)$. You should make clear the order in which the transformations are applied.
