# Represent the plane curve by a vector-valued function y=(x-2)^{2}

Represent the plane curve by a vector-valued function $y={\left(x-2\right)}^{2}$
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Egreane61
Step 1
$y={\left(x-2\right)}^{2}$
Now let
$x\left(t\right)=t$
Now put $x\left(t\right)=t$ in $y={\left(x-2\right)}^{2}$, we get
$y={\left(t-2\right)}^{2}$
Step 2
$r\left(t\right)=x\left(t\right)i+y\left(t\right)j$
$⇒r\left(t\right)=ti+{\left(t-2\right)}^{2}j$