How do I graph

a)y=2x^2-8x+10

b)y=3x^2+12x-7 and it's inverse, and state the domain and range of each.

Please Help.

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- Nov 30th 2008, 06:11 PMwilliamgraphing
How do I graph

a)y=2x^2-8x+10

b)y=3x^2+12x-7 and it's inverse, and state the domain and range of each.

Please Help. - Nov 30th 2008, 06:19 PMChris L T521
Here's the graph to part (a):

http://img.photobucket.com/albums/v4..._inverses1.jpg

Can you find the domain and range of the original function (in blue) and the inverse (in cyan)?? - Nov 30th 2008, 06:22 PMwilliam
- Nov 30th 2008, 06:27 PMChris L T521
Correct. Note that range is actually $\displaystyle y\geq 2$ Now what is the domain and range of the inverse?

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Also, how would I go abouts graphing this by hand?

*smooth*). - Nov 30th 2008, 06:37 PMwilliam
- Nov 30th 2008, 07:20 PMChris L T521
Yes, it seems that they have the same vertex.

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Thanks. Would this method be appropriate to use for the second questions as well?

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Also, for the graphing the inverse by hand I would simply switch the x and y values, correct?

Take note that the domain and the range switch for the inverse.