`{:{(x=t^(2)),(y=3t^(2)+1):}` Eliminate the parameter and sketch the graph

Explanation

To eliminate the parameter from the given parametric equations \( x = t^2 \) and \( y = 3t^2 + 1 \), we will follow these steps:

### Step 1: Express \( t^2 \) in terms of \( x \)
From the equation \( x = t^2 \), we can express \( t^2 \) as:
\[ t^2 = x \]

...