So I am doing a lesson on transformations... And the 'textbook' I am using, or lack thereof, that comes with my math correspondence unit is a little short on examples, so I am having trouble with this problem.
It is a simple question.
Graph y= -2 Log3(x-3)- 1
So, on the graph, this will mean a stretch factor of 2, which gives me (1,0), (3,2), and (9,4)... Now I do the rest and get (4,-1), (6,-3), and (12,-5)... (keeping in mind that I flipped on the x-axis)
Now the only thing that is really confusing me is: at -3 there is an asymptote because we moved 3 to the right.. But for my graph on my graphing calculator, there is randomly another sort of asymptote when y= 3 as well? Basically the line comes from the 4th quadrant, into the 2nd, and stops at (3,3). There is one example in the book that has the same thing, but no explanation.. I am wondering if anyone can explain this to me?