If the parent function is 
, describe the translation of the function y = 
– 3
a. Four units to the left and three units down from
.
b.Three units to the left and four units up from
.
c.Three units to the right and four units up from
.
d.Four units to the right and three units down from
.
+118724 $$\\y=\sqrt[3]{x+4}-3\\\\
$this is how I think of these$\\\\
(y+3)=\sqrt[3]{(x+4)}$$
now
solve y+3=0 the answer is y=-3 so got down 3 units
solve x+4=0 the answer is x=-4 so go left 4 units
Notice how I used the brackets. This is important to get the grouping correct.
I do not think everyone thinks of it like this but it works well for me. 
