Respuesta :

[tex]\bf \begin{cases} x=\sqrt{t}\implies x^2=\boxed{t}\\ y=2t+5\\ ----------\\ y=2\boxed{x^2}+5 \end{cases}[/tex]
SociometricStar

Answer:

[tex]y=2x^2+5[/tex]

Step-by-step explanation:

We have been given that

[tex]x=\sqrt t...(i)\\\\y=2t+5...(ii)[/tex]

We have to eliminate the parameter t.

Squaring equation (i), we get

[tex]x^2=t[/tex]

Substituting this value of t in equation (ii)

[tex]y=2x^2+5[/tex]

On eliminating the parameter, we get the equation[tex]y=2x^2+5[/tex]