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 11 months ago
Hi my question is about the Problem Set question 1A2 B)
\[y=\frac{ 2 }{(x1)^2 }\]
I was wondering how can you sketch it using translation and scaling.
I realized that \[(x1)^2\] 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.
 11 months ago
Hi my question is about the Problem Set question 1A2 B) \[y=\frac{ 2 }{(x1)^2 }\] I was wondering how can you sketch it using translation and scaling. I realized that \[(x1)^2\] 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.

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Enriquem96
 11 months ago
Best ResponseYou've already chosen the best response.0I also thought that maybe instead of starting with the function x^2 I could just start with 1/x^2 and say that 2/(x1)^2 is the result of moving 1/x^2 by 1 to the right and stretching the yaxis 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

rpthomps
 11 months ago
Best ResponseYou've already chosen the best response.0The 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?

Enriquem96
 11 months ago
Best ResponseYou've already chosen the best response.0The 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/(x1)^2. My question was if I should take 1/x^2 as the initial function or rather x^2. Thank you.

Superkossie
 10 months ago
Best ResponseYou've already chosen the best response.0I think that you cannot start with x^2 since you need to have a value for which the denominator is not specified. So to me it seems more logical to start out with 1/x^2. I'm going to start this problem set now as well, so if I change my mind doing the problem I'll let you know ;)

idonahu
 10 months ago
Best ResponseYou've already chosen the best response.0I think we are expected to already know what \[1/(x^2)\] looks like, being undefined at x=0; and then realize that the new equation, \[2/(x1)^2\] is undefined at x=1. So the translation is moving it one to the right along the x axis. The change of scale would be the 2, like you said. Which means for every x value of our known \[1/x^2\]curve, y is double. So it is lengthened along the y scale along the y scale. dw:1392405119678:dw So we just take both effects on a graph that we know what it would look like.
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