Recover a signed graph from its two modulus graphs

The supplied graphs are $y=f(|x|)$ and $y=|f(x)|$. Both have maximum (4, a) and vertical tangents x=0, x=6. The first is even, with maxima (−4, a), (4, a), zeros (−6,0), (0,0), (6,0), and slant asymptotes y=x+2 on the left and y=−x+2 on the right. The second is nonnegative, with zeros (0,0), (6,0), and slant asymptotes y=−x+2 on the left and y=x−2 on the right.

Given f itself has only one oblique asymptote, sketch $y=f(x)$, stating asymptotes, turning points and axial intercepts wherever possible.2 marks