Question

How do graphs of y = 1/x and y = 5/(x+6) compare? Enter your answer and show all the steps that you use to solve this problem

Answer 1

Step 1

Graph

`\begin{gathered} y=(1)/(x) \\ \end{gathered}`

We use values of x= -3 o 3

We will now plot the graph of

`y=(5)/(x+6)`

using the points of x=-10,-9,-8,-3,-2,-1,1

Together, they will look like this;

Hence, a possible solution is;

`y=(2)/(3),\:x=(3)/(2),\:\quad \:x\\e \:0,\:x\\e \:-6`

The graphs compare thus;

From the first and second graphs, we can see that they intersect at a point (1.5, 0.667).

Both graphs have the same shape but the following differences:

By looking at the graph we can see that the graph of y=5(x+6) is translated six units to the left with respect to the graph of y=1/x.