Which translation maps the graph of the function f (x) = x2 onto the function g (x) = x2+_2x+6?

F (x) = x2 to the function g (x) = x2 + 2x + 6.

First, it must be noted that the unit is shifted to the left making it x2 + 2x + _. Then, it is shifted 5 units up.

Therefore the answer is

Left 1 unit, up 5 units