  In this paper, the cosmological model of the Universe has been presented in
$f(Q)$ gravity and the parameters are constrained from the cosmological data
sets. At the beginning, we have employed a well motivated form of $f(Q) =
\alpha + \beta Q^{n}$, where $\alpha$, $\beta$ and $n$ are model parameters. We
have obtained the Hubble parameter in redshift with some algebraic manipulation
from the considered form of $f(Q)$. Then we parameterize with the recent
$Hubble$ data and $Pantheon + SHOES$ data using $\textit{MCMC}$ analysis. We
validate our obtained model parameter values with $\textit{BAO}$ data set. A
parametrization of the cosmographic parameters shows the early deceleration and
late time acceleration with the transition at $z_t\approx0.75$. The $Om(z)$
diagnostics gives positive slope which shows that the model in the phantom
phase. Also the current age of Universe has been obtained as, $t_{0} =
13.85~~Gyrs$. Based on the present analysis, it indicates that the $f(Q)$
gravity may provide an alternative to dark energy for addressing the current
cosmic acceleration.
