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write a set of parametric equations for y=x^2+1 given the parameter t=x-2

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Kate200468idn
[tex]t=x-2\ \ \ \Rightarrow\ \ \ x=t+2\\ \\y=x^2+1\ \ \ \Rightarrow\ \ \ y=(t+2)^2+1=t^2+4t+5\\ \\ \left \{ {{x=t+2\ \ \ \ \ } \atop {y=t^2+4t+5}} \right. [/tex]
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