Question

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

Answer 1

Both graphs are hyperbolas and have similar shapes. The graph of y=5/(x+6) is a transformation of the graph of y=1/x. The graph of y=5/(x+6) is shifted 6 units to the left and 5 units up compared to the graph of y=1/x. Additionally, the graph of y=5/(x+6) is vertically stretched by a factor of 5 compared to the graph of y=1/x.