Question

Translate f(x) = [x] so that it's translated down by 2 units and to the left 6 units. What's the new function g(x)?

Answer 1

To find the solution we need to remember the following definitions:

Suposse c>0. To obtain the graph of:

• f(x)+c, shift the graph of f(x) a distance c units upward.

,

• f(x)-c, shift the graph of f(x) a distance c units downward.

,

• f(x-c), shift the graph of f(x) a distance c units to the right.

,

• f(x+c), shift the graph of f(x) a distance c units to the left.

Then to translate the function given with the specifications we need to substract a two to the whole function, and add a six to the variable. Then we have:

$g(x)=\lvert x+6\rvert-2$

Therefore, the answer is B.