- #1
greg_rack
Gold Member
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- 79
- Homework Statement
- A point ##P## describes, in a xy plane, the geometric place identified by this parametric system
$$\left\{\begin{matrix}
x=2t-3\\
y=\frac{1}{2}t^2-4t+2
\end{matrix}\right.$$
determine the cartesian equation ##f(x,y)=0## of the geometric place
- Relevant Equations
- none
Hi guys, I managed to solve this problem just by "rewriting" the first equation of the system as ##t=f(x)## and then substituting that in the second ##y=f(t)## equation, ending(of course) up with the sought ##f(x,y)## function.
The problem here is I didn't really understand what I have done and why, nor the analytical reasons for that, and I'd appreciate it if you could give me the grounding I'm missing on this type of problem :)
The problem here is I didn't really understand what I have done and why, nor the analytical reasons for that, and I'd appreciate it if you could give me the grounding I'm missing on this type of problem :)