Spring ACPR: Parametric Equations

 Using the parameter  $t=\ \frac{x}{3}-1$, which pair of parametric equations represents   $y=4+x^2$  ?

Which graph represents the curve given by the parametric equations $$x=-2t^2+1$$ and $$y=2t-3$$ over the interval $$-2\le t\le2$$ ?

Hint: Figure out the necessary t-value and then worry about the height.

Which set of parametric equations models $$y=4x+1$$ with parameter $$t=2x-8$$ ?

Using the parameter $$t=2x+1$$ , which parametric equations represent $$y=x^2+4$$ ?

$$x=$$ ​ ​ (a)  

$$y=$$ ​ (b)  

What is the rectangular form for the curve given by the parametric equations $$x=t^2+5t-1$$ and $$y=t+1$$ ?

Which graph represents the curve given by the parametric equations $$x=4t+2$$ and $$y=-2t^2+6$$ over the interval $$-2\le t\le2$$ ?