Shift functions

The  exercise appears under the Algebra II Math Mission. This exercise practices shifting functions horizontally and vertically, and practice the relationship between the graphical and the algebraic representations of those shifts.

Types of problems
There is one type of problem in this exercise: a graph of the function ___ on a graph shown below and user is asked to graph a new function by shifting the the previous function on the graph.
 * 1) Graph the function ___ in the interactive graph. This problem has
 * 1) Which of the following is the graph of ___? This problem has a graph of a function, and user is asked to determine which

Strategies
Basic knowledge of functions are required for this exercise.
 * 1) Since function $$g$$ can be built from function $$f$$, the graph of function $$g$$ is a transformation of the graph of function $$f$$.