Question

Eliminate the parameter

Answer 1

Option 1.
`y = 3x^(2) +7` is obtained by eliminating the parameter.

Explanation:

Step 1:

We have that
`x = √(t)` and
`y = 3t+7.`

Take
`x = √(t)` as equation 1.

Assume
`y = 3t+7` is equation 2.

We need to determine a value that is equivalent to t so it can be substituted in equation 2.

Step 2:

If we square equation 1, we get

`x^(2) = (√(t))^(2) , x^(2) =t .`

So we have a value that can replace t, so we substitute this is equation 2.

`y = 3t+7, x^(2) =t,` so

`y = 3x^(2) +t` which is the first option.