Question 935591
Parent function: {{{y = root(3,x)}}}


(More) General form: {{{y = root(3,x-h)+k}}}


The h shifts it left/right
The k shifts it up/down


h = 5, which is positive, so we go 5 units to the right
k = 2, which is positive, so we go 2 units up


so we go from {{{y = root(3,x)}}} to {{{y = root(3,x-5)+2}}} after we plug in h and k.


Graph:
<img src = "http://i150.photobucket.com/albums/s91/jim_thompson5910/797yhqxc998p3zoi1d50_zps9715b996.png">


In the graph above, {{{y = root(3,x)}}} is the <font color="red">red</font> curve and {{{y = root(3,x-5)+2}}} is the <font color="blue">blue</font> curve. Notice how everything (in particular, the point (0,0)) has been shifted 5 units right, 2 units up.