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February 13th, 2013, 01:58 AM   #1
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How To Plot This Graph?

For the given below two equations:




How to plot the graph if and ?


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February 13th, 2013, 02:41 AM   #2
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Re: How To Plot This Graph?

With I get:





and after eliminating the parameter, we have:



which is a parabola. To sketch the graph, rotation of axes may be used.
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February 13th, 2013, 06:54 PM   #3
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Re: How To Plot This Graph?

Quote:
Originally Posted by MarkFL
With I get:





and after eliminating the parameter, we have:



which is a parabola. To sketch the graph, rotation of axes may be used.
I think this is a wrong answer.

For the xc = 3 and yc = 4,I get:


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February 13th, 2013, 06:56 PM   #4
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Re: How To Plot This Graph?

Oops, sorry so much.

I am the wrong one.
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February 13th, 2013, 06:57 PM   #5
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Re: How To Plot This Graph?

Quote:
Originally Posted by MarkFL
With I get:





and after eliminating the parameter, we have:



which is a parabola. To sketch the graph, rotation of axes may be used.
How do you eliminate the parameter?

How to?

Please be more detail.
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February 13th, 2013, 07:22 PM   #6
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Re: How To Plot This Graph?

What I did to eliminate the parameter is multiply the first parametric equation (for x) by -2, then add it to the other:





Adding these, we get:



and solving for we find:



Now, substitute for into either parametric equation. I chose the second:



and this can be arranged as:

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