Reciprocal Functions Question?

Question

Describe the translation on the graph of y=1/x to obtain the following (explain how you did it as well)

x+3=y

-----

x+1

I just want to understand what this equation means and how to interpret it.

Answer 1

y = (x + 3) / (x + 1)

= 1 + 2 / (x + 1)

y - 1 = 2 / (x + 1).

That is now in the form:

Y = 2[ 1 / X ]

where:

X = x + 1

Y = y - 1

You need to stretch the graph of y = 1 / x vertically by a factor of 2 keeping the origin fixed, and then move the origin to (-1, 1).

This is a useful site for plotting graphs:

http://www.walterzorn.com/grapher/graphe...