Match equation graph with its parametric equation. Not all equations will be used. All graphs shown for 5t5\displaystyle -{5}\le{t}\le{5}
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  1. {x(t)=t3y(t)=t2\displaystyle {\left\lbrace\begin{array}{c} {x}{\left({t}\right)}={t}^{{3}}\\{y}{\left({t}\right)}={t}^{{2}}\end{array}\right.}
  2. {x(t)=ety(t)=t2\displaystyle {\left\lbrace\begin{array}{c} {x}{\left({t}\right)}={e}^{{t}}\\{y}{\left({t}\right)}={t}^{{2}}\end{array}\right.}
  3. {x(t)=t+cos(t)y(t)=t+sin(t)\displaystyle {\left\lbrace\begin{array}{c} {x}{\left({t}\right)}={t}+{\cos{{\left({t}\right)}}}\\{y}{\left({t}\right)}={t}+{\sin{{\left({t}\right)}}}\end{array}\right.}
  4. {x(t)=t3ty(t)=t2\displaystyle {\left\lbrace\begin{array}{c} {x}{\left({t}\right)}={t}^{{3}}-{t}\\{y}{\left({t}\right)}={t}^{{2}}\end{array}\right.}
  5. {x(t)=2+cos(t)y(t)=sin(t)\displaystyle {\left\lbrace\begin{array}{c} {x}{\left({t}\right)}={2}+{\cos{{\left({t}\right)}}}\\{y}{\left({t}\right)}={\sin{{\left({t}\right)}}}\end{array}\right.}