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February 13th, 2013, 01:58 AM  #1 
Newbie Joined: Feb 2013 Posts: 5 Thanks: 0  How To Plot This Graph?
For the given below two equations: How to plot the graph if and ? 
February 13th, 2013, 02:41 AM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 522 Math Focus: Calculus/ODEs  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. 
February 13th, 2013, 06:54 PM  #3  
Newbie Joined: Feb 2013 Posts: 5 Thanks: 0  Re: How To Plot This Graph? Quote:
For the xc = 3 and yc = 4,I get:  
February 13th, 2013, 06:56 PM  #4 
Newbie Joined: Feb 2013 Posts: 5 Thanks: 0  Re: How To Plot This Graph?
Oops, sorry so much. I am the wrong one. 
February 13th, 2013, 06:57 PM  #5  
Newbie Joined: Feb 2013 Posts: 5 Thanks: 0  Re: How To Plot This Graph? Quote:
How to? Please be more detail.  
February 13th, 2013, 07:22 PM  #6 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 522 Math Focus: Calculus/ODEs  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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