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jesus49 jesus49
  • 28-01-2017
  • Mathematics
Answered

X=t+4 y=3tpower of 2 -t+5

Convert the Parametric equation

Verified Answer :

jdoe0001 jdoe0001
  • 28-01-2017

\(\bf \begin{cases} x=t+4\to x-4=\boxed{t} \\ \quad \\ \quad \\ y=3t^2+5\to y-5=3t^2\\ \frac{y-5}{3}=t^2\to \sqrt{\frac{y-5}{3}}=\boxed{t} \end{cases}\qquad thus\quad t=t \\ \quad \\\\ \quad \\ \quad \\ x-4=\sqrt{\cfrac{y-5}{3}}\implies (x-4)^2=\cfrac{y-5}{3} \\ \quad \\ 3(x-4)^2=y-5\implies 3(x-4)^2+5=y\)

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