Question

Graph y=2/(x+5)-3 and the parent function. Identify horizontal asymptotes. Identify vertical asymptotes. Describe the transformations.

Answer 1

i am plotting the equation using word documents,i will attach the file soon

Answer 2

here is the graph

Answer 3

as you can see the function is shifted by 2 units in the negative x-axis, because x+5-3=2

Answer 4

you may compare this with f(x)=1/x , if you want i can draw it for you

Answer 5

How do I find the asymptotes though?

Answer 6

as you can see the vertical line passing through (2,0)

Answer 7

can you see the vertical blue line

Answer 8

look at the curve is approaching the vertical line, it should never touch that line

Answer 9

this is how this specific function behaves by nature

Answer 10

so you need to go by its rules

Answer 11

have a look at f(x)=1/x

Answer 12

you can see even the y axis has been multiplied by 2

Answer 13

So it was only a shift?