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 =$\frac{1}{(x-1)}$