  We present a new $f(Q)$ cosmological model capable of reproducing late-time
acceleration, i.e. $f\left( Q\right) = \lambda_{0}\left( \lambda +Q\right)
^{n}$ by supporting certain parametrization of the Hubble parameter. By using
observational data from Hubble, Pantheon, and Baryonic Acoustic Oscillations
(BAO) dataset, we investigate the constraints on the proposed quadratic Hubble
parameter $H(z)$. This proposal caused the Universe to transition from its
decelerated phase to its accelerated phase. Further, the current constrained
value of the deceleration parameter from the combined Hubble+Pantheon+BAO
dataset is $q_{0}=-0.285\pm 0.021$, which indicates that the Universe is
accelerating. We also analyze the evolution of energy density, pressure, and
EoS parameters to infer the Universe's accelerating behavior. Finally, we use a
stability analysis with linear perturbations to assure the model's stability.
