Answer:
(a) 3 units left, 5 units up
Explanation:
Replacing x by x-h translates a function to the right by h units. When h=-3, the translation is to the left by 3 units.
Adding k to a function value, as in f(x)+k, translates the graph upward by k units.
It should be pretty obvious that changing a coordinate from (x, f(x)) to (x, f(x)+5) will move the point 5 units upward on the coordinate plane. (The y-coordinate is the measure of the distance above the x-axis, so increasing it increases that distance.)
Taken together, the two translations — from (x, f(x)) to (x, f(x+3)+5) — move the graph of the function 3 units to the left and 5 units up.