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The given system of parametric equations is:

\[
x = \frac{t+2}{4}, \quad y = \frac{4t^2 - 3}{t}
\]

To analyze this system, let me know how you would like to proceed:
- Would you like to eliminate the parameter \(t\) and find the equation of the curve in terms of \(x\) and \(y\)?
- Do you want to find specific points for certain values of \(t\)?
- Or is there another task you'd like to perform with these equations?

Let me know your preferences. Here are some related questions to consider:

1. Do you want to find the equation in terms of \(x\) and \(y\) only (eliminating \(t\))?
2. Would you like to find the derivatives \(\frac{dx}{dt}\) and \(\frac{dy}{dt}\)?
3. Are you interested in plotting the curve described by these parametric equations?
4. Should we check if there are any singularities or undefined points?
5. Would you like to compute values of \(x\) and \(y\) for specific \(t\)?

**Tip:** Eliminating the parameter \(t\) gives the relationship between \(x\) and \(y\) directly, which can simplify analysis.

Given the parametric equations x = (t + 2) / 4 and y = (4t^2 - 3) / t, find the relationship between x and y or perform other analyses.

Analyze the parametric equations x = (t + 2)/4 and y = (4t^2 - 3)/t to find the relationship between x and y. This covers concepts in algebra and curve analysis suitable for high school students.

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