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\noindent {\bf Problem statement} Find the vertical
translation of $y=|x|$ that ``supports'' the parabola $y=x^2$.

\medskip

\noindent {\bf Hint} You should find $c$ so that $y=|x|+c$ just
touches $y=x^2$. You may as well consider only the right-hand side
of the picture first. (Why?)

%\medskip

%\noindent {\bf Low-technology} Find $c$ so that there's exactly
%{\it one} common point shared by $y=x+c$ and $y=x^2$.

%\medskip

%\noindent {\bf High-technology} Find $c$ so that when $y=x+c$ and
%$y=x^2$ touch, the line is {\it tangent} to the parabola.
}





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