Question

How do the graphs of y=1/x and y=5/(x+6 )compare

Answer 1

Answer:

Both graphs have the same shape but the following differences:

By looking at the graph we can se that the graph of y=5(x+6) is translated six units to the left with respect to the graph of y=1/x.

Also, the graph of y=5(x+6) grows or decay much faster than the graph of y=1/x, because the graph is enlarged by 5 units.