Answer:
translated right 5 units and down 2 units
Step-by-step explanation:
Horizontal transformations are those that only alter the x, while vertical transformations are those that alter the entire function.
Here, the -5 is only changing the x, so we know that it must be a horizontal transformation of some sort. It turns out that this is actually a horizontal translation 5 units either to the right or left. We know that it is a translation to the right because it uses a "-" sign instead of "+" (this is because horizontal transformations are "backward" and a little weird like that). So, the graph of y is translated 5 units to the right.
Now, look at the -2 at the end of the function. Because it isn't solely in the parentheses with the x, we know that -2 is changing the entire function and is thus a vertical transformation. It's actually a vertical translation 2 units either up or down. We know that it's a translation down because of the "-" sign. Unlike horizontal transformations, vertical transformations are "correct", so "+" means up and "-" means down. So the graph of y is translated 2 units down.
Hope this helps!
