Hi my question is about the Problem Set question 1A-2 B) \[y=\frac{ 2 }{(x-1)^2 }\] I was wondering how can you sketch it using translation and scaling. I realized that \[(x-1)^2\] is basically x^2 moved by 1 to the right. Then the function is inverted (using the inverse function(1/x)) but I don't know how this will be reflected in a graph. So I need help in order to figure out how applying 1/x to a function changes its graph. Thank you for your help in advance.

Hey! We 've verified this expert answer for you, click below to unlock the details :)

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

I also thought that maybe instead of starting with the function x^2 I could just start with 1/x^2 and say that 2/(x-1)^2 is the result of moving 1/x^2 by 1 to the right and stretching the y-axis by a factor of 2. What do you think? Is it possible to start with 1/x^2 or should I start with x^2. Thanks

The problem with that approach is that the translation that you described would not take into account that there is a restriction on x where y is undefined when x=1. Is this just a thought exercise or are you trying to graph the function?

The exercise is about graphing the function i mentioned using scaling and translation. To do this, they take an initial function like 1/x^2 and then apply the said processes to get to the graph of 2/(x-1)^2. My question was if I should take 1/x^2 as the initial function or rather x^2. Thank you.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

Looking for something else?

Not the answer you are looking for? Search for more explanations.