sketch the curve represented by the parametric equations. Then eliminate and write the corresponding rectangular equation whose graph represents the curve.

10. x=t2-6
y=1/2t-1

3 answers

well, t = 2y+2, so use that
sketch the curve represented by the parametric equations. Then eliminate and write the corresponding rectangular equation whose graph represents the curve.
10. x=t2-6
y=1/2t-1
how do I use
t = 2y+2?
come on. just substitute it into the other equation.

t = 2y+2

x = t^2-6 = (2y+2)^2-6 = ...

It is clearly a horizontal parabola
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