Phantom cosmological model with observational constraints in $f(Q)$ gravity

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 $\mathit{\text{MCMC}}$ analysis. We validate our obtained model parameter values with $\mathit{\text{BAO}}$ data set. A parametrization of the cosmographic parameters shows the early deceleration and late time acceleration with the transition at $z_t\approx 0.75$. 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, $t_0=13.85Gyrs$. 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.