The solid graph is a vertical translation of f(x)=3√x. how many units up was the graph of f(x)=3√x shifted to from the translation?

The graph shifted by +2 in the y-axis. looking at the graph, the basic equation is y = cuberoot(x). so let's simply take a few known points on the original graph and see where they lie on the translated graph. cube root of 0 is 0. the translated graph seems to have a y-intercept of 2, so that alone is enough of an indicate that the graph was only translated 2 units in the positive y direction. but let's check a few more points. cube root of 1 is 1 cube root of 8 is 2 and for both of the above mentioned points, the translated point corresponds to 3 and 4. so we have 3 independent points, all translated by 2 units in the positive y direction.