# Represent the plane curve by a vector-valued function y=9-x^{2}

Represent the plane curve by a vector-valued function $y=9-{x}^{2}$
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Step 1
Given:
$y=9-{x}^{2}$
The vector valued function for a plane curve:
$r\left(t\right)=x\left(t\right)i+y\left(t\right)j$
Step 2
$x\left(t\right)=t$
$y\left(t\right)=9-{t}^{2}$
$r\left(t\right)=ti+\left(9-{t}^{2}\right)j$