  Let $M_k^!(\Gamma_0^+(3))$ be the space of weakly holomorphic modular forms
of weight $k$ for the Fricke group of level $3$. We introduce a natural basis
for $M_k^!(\Gamma_0^+(3))$ and prove that for almost all basis elements, all of
their zeros in a fundamental domain lie on the circle centered at 0 with radius
$\frac{1}{\sqrt{3}}$.
