6. The graph of the equation $\left|x-y^{2}\right|=1-|x|$ is

答( $\quad$ )
(D)
6. 【Analysis and Solution】Rearranging the equation to $\left|x-y^{2}\right|+|x|=1$, we can see that $|x| \leqslant 1$, meaning the range of $x$ is $1 \leqslant x \leqslant 1$.
This eliminates (A) and (B);
When $x=\frac{1}{2}$, $y=0,1,-1$, indicating that the graph of the equation can only be (D).