The problem tells how many units and in what direction the graph of the given equation is to be shifted. Give an
equation for the shifted graph. Then sketch the original graph with a dashed line and the shifted graph with a solid line.
-$y = \frac { 1 } { x }$
Down 5 , right 6

A) $y - 5 = \frac { 1 } { x - 6 }$
B) $y - 5 = \frac { 1 } { x + 6 }$
C) $y + 5 = \frac { 1 } { x - 6 }$
D) $y + 5 = \frac { 1 } { x + 6 }$

Question

The problem tells how many units and in what direction the graph of the given equation is to be shifted. Give an
equation for the shifted graph. Then sketch the original graph with a dashed line and the shifted graph with a solid line.
-$y = \frac { 1 } { x }$
Down 5 , right 6

A) $y - 5 = \frac { 1 } { x - 6 }$ 
B) $y - 5 = \frac { 1 } { x + 6 }$ 
C) $y + 5 = \frac { 1 } { x - 6 }$ 
D) $y + 5 = \frac { 1 } { x + 6 }$

Quizplus · Accepted Answer

To shift the graph down 5 units, we need to add 5 to the y-coordinate. To shift the graph right 6 units, we need to subtract 6 from the x-coordinate. Therefore, the correct equation is:

$$y + 5 = \frac{1}{x-6}$$

This shifts the graph down 5 units and right 6 units.

The Problem Tells How Many Units and in What Direction y=1xy = \frac { 1 } { x }y=x1​

The Problem Tells How Many Units and in What Direction $y = \frac { 1 } { x }$