Answer:
y = (a/x) - (h/x) + k
Characteristics of the function:
y is in terms of x
y has a denominator of x
The function is an inverse function of y = (a/x) + (h/x) + k
The graph of the function is a mirror image of the graph of y = (a/x) + (h/x) + k
The graph of the function changes orientation when it crosses the y-axis
To transform the graph of y = 1/x into the graph of y = 2-6x/x-5, we can use the following steps:
1.Reflect the graph about the y-axis
2.Translate the graph up by 1 unit on the x-axis
3.Subtract 1 from the y-coordinate of every point on the graph
This results in the graph of y = 2-6x/x-5, which is a mirror image of the graph of y = 1/x.