What is the equation of the translated function, g (x), if f (x) = x2?

An equation is said to be translated if it is shifted from its original position. A translation can be upwards, downwards, to the left or to the right.

For example

A translation of the function f (x) = x^2, one units upwards will result in g (x) = x^2 + 1.

A translation of the function f (x) = x^2, one units downwards will result in g (x) = x^2 - 1.

A translation of the function f (x) = x^2, one units to the left will result in g (x) = (x - 1) ^2.

A translation of the function f (x) = x^2, one units to the right will result in g (x) = (x + 1) ^2.