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find parametric equation for rectangular equation:

y = x^2 - 4x + 7

 Jan 23, 2018
 #1
avatar+21191 
+2

find parametric equation for rectangular equation:

y = x^2 - 4x + 7

 

\(\begin{array}{|lcll|} \hline \text{ $y = x^2 - 4x + 7$ is a rectangular equation. }\\ \text{Find a set of parametric equations for the equation } y = x^2 - 4x + 7 \\\\ \text{Solution }: \\ \text{Assign any one of the variable equal to $t$ . (say $x = t$ ). } \\ \text{Then, the given equation can be rewritten as $y=t^2 - 4t +7$ .}\\ \text{Therefore, a set of parametric equations is $x = t$ and $y=t^2 - 4t +7$. }\\ \hline \end{array} \)

 

laugh

 Jan 23, 2018
 #2
avatar+97497 
+2

y = x^2 - 4x + 7

OR

 

y=(x-2)^2-4+7

y=(x-2)^2+3

 

 

x=t+2

y=t^2+3

 Jan 23, 2018

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