Solve Parametric Equations & Sketch Curve

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Homework Help Overview

The original poster attempts to eliminate the parameter from the given parametric equations \(x = t - 2\) and \(y = t^2 + 1\) and to sketch the resulting curve.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between the variables and question how to express \(t\) in terms of \(x\) to eliminate it from the equations.

Discussion Status

Some participants have suggested starting with expressing \(t\) in terms of \(x\), indicating a potential direction for the discussion. However, there is no explicit consensus on the method to eliminate the parameter.

Contextual Notes

The original poster has not provided additional equations or constraints, and the discussion is focused on the elimination of the parameter without further details on sketching the curve.

baokhuyen
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Homework Statement


how can we eliminate the parameter of these functions:
x= t-2
y= t^2 +1
and sketch its curve

Homework Equations





The Attempt at a Solution



I can't find the relations between these 2 functions
 
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They are related through t.
 
But how can I eliminate t and make a function of x and y?
 
You could start by expressing t in terms of x.
 

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