One of the hardest things for students to grasp is the horizontal shift, which appears to work opposite of what we would expect. Let's take a look at a shift that is purely horizontal. Exercise #5: The graph of f (x) is shown below. The function g (x) is defined by g (x) = f(x-2). (a) Show that x =-1 and x = 2 are zeroes of the function g. X (b) Evaluate each of the following using the definition of g and then create a plot of g on the same set axes. 8 ( -3) = 8 ( 0) = 8 ( 4) = COMMON CORE ALGEBRA II, UNIT #7 - TRANSFORMATIONS OF FUNCTIONS - LESSON #1