Ex 2: Determine a Piecewise Smooth Parameterization for a Curve

This video explains how to determine a piecewise smooth parameterization of a curve made up of a line segment and square root function.

[Icecube]

for this one, doing it his way (stacking the boundaries) is probably the easier way to do it. if you don't want to do it that way, you can make c2 from -8 to -4, x = - t - 4, y = 3(square root of ( - t - 4)). plug in those boundaries and you will get the correct coordinates. most people don't want to put negative boundaries, so that's why i say his way for c2 is probably better.