Solution overview: Given g(x) = log(x 2) 1. This is the parent y = log(x) shifted: right by 2 units (x x 2) down by 1 unit (y y 1) How to graph: give me the image about this equation Vertical asymptote: x = 2. Plot a couple of easy transformed points from y = logx: From (1, 0) shift to (1+2, 01) = (3, 1). From (3, 1) shift to (3+2, 11) = (5, 0). (This is the x-intercept.) Optional: From (1/3, 1) shift to (2 + 1/3, 2) = (7/3, 2). Draw the increasing log curve approaching the vertical asymptote x = 2 from the right and passing through the plotted points. There is no y-intercept since x must be greater than 2