# Find a set of parametric equations for the rectangular equation. y = (x+3)^2 backslash5

Find a set of parametric equations for the rectangular equation. $y=\left(x+3{\right)}^{2}\mathrm{\setminus }5$
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Step 1 Refer to the question, we have to write the set of parametric equations for the rectangular equation , $y=\frac{\left(x+3{\right)}^{2}}{5}$. Step 2 A curve in the plane is said to be parameterized if the set of coordinates of the curve (x,y) is represented as function of t. $x=f\left(t\right)$
$y=g\left(t\right)$ Step 3 Put x = t and the substitute x=t in the equation to get the value of the y. $y=\frac{\left(t+3{\right)}^{2}}{5}$ Step 4 Hence the set of parametric equations for the rectangular equation is, $\left(x,y\right):\left(t,\left(t+3{\right)}^{3}\mathrm{\setminus }5\right)$