Solve Parametric Equations & Sketch Curve

[baokhuyen]

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

 

[EnumaElish]

They are related through t.

 

[baokhuyen]

But how can I eliminate t and make a function of x and y?

 

[EnumaElish]

You could start by expressing t in terms of x.