Question

Eliminate the parameter. x = square root of t , y = 2t + 5

Answer 1

$\bf \begin{cases} x=\sqrt{t}\implies x^2=\boxed{t}\\ y=2t+5\\ ----------\\ y=2\boxed{x^2}+5 \end{cases}$

Answer 2

Answer:

$y=2x^2+5$

Step-by-step explanation:

We have been given that

$x=\sqrt t...(i)\\\\y=2t+5...(ii)$

We have to eliminate the parameter t.

Squaring equation (i), we get

$x^2=t$

Substituting this value of t in equation (ii)

$y=2x^2+5$

On eliminating the parameter, we get the equation$y=2x^2+5$