Hi. I am curious to know if there is a way to graph the function...

... without manually plotting each point. I imagine using something like the transformation rules, but I find it difficult to mentally parse which transformations to apply. For example, given...

... I know to shift the parabola up by two units. And, say...

... shifts leftward two units.

But when it comes to the rational function, I'm confused as to what constitutes a change to the x value versus the y value. Any ideas?