## College Algebra (10th Edition)

Graph the parent function $y=x^3$. (refer to green graph in the the attached image below) RECALL: (1) The function $y=f(x-h)$ involves a horizontal shift of either $h$ units to the right of the parent function $f(x)$ if $h \gt 0$, or $|h|$ units to the left when $h \lt0$ (2) The function $y=f(x)+k$ involves a vertical shift of either $k$ units upward of the parent function when $k\gt0$, or $|k|$ units downward when $k\lt0$. The given function involves both transformations mentioned in (1) and (2) above with $h=1$ and $k=2$ Thus, to graph the given function, perform the following: (i) Shift each plotted point of the parent function $y=\sqrt{x}$ one unit to the right (refer to the black graph in the attached image below); and (ii) Shift the resulting graph in (i) 2 units upward. (refer to the red graph in the attached image in the answer part above).