  Let $\mathbb{F}_p$ be a prime field of order $p,$ and $A$ be a set in
$\mathbb{F}_p$ with $|A| \leq p^{1/2}.$ In this note, we show that
\[\max\{|A+A|, |f(A, A)|\}\gtrsim |A|^{\frac{6}{5}+\frac{4}{305}},\] where
$f(x, y)$ is a non-degenerate quadratic polynomial in $\mathbb{F}_p[x, y].$
This improves a recent result given by Koh, Mojarrad, Pham, Valculescu (2018).
