Question

The function $y=\frac{1}{x}$ shifted 1 unit down and 1 unit right is given by?

• A. $y-1=\frac{1}{(x+1)}$
• B. $y-1=\frac{1}{(x-1)}$
• C. $y+1=\frac{1}{(x-1)}$
• D. $y+1=\frac{1}{(x+1)}$

Answer 1

The correct option is C $y+1=\frac{1}{(x-1)}$

Looking at the options one unit right means x is replaced by (x - 1). Also, 1 unit down means -1 on the RHS.
Thus, $(y+1)=\frac{1}{(x-1)}$