  This research investigates the impact of modified gravity on cosmic scales,
focusing on $f(Q)$ cosmology. By applying energy conditions, the study
reconstructs various $f(Q)$ models, considering an accelerating Universe,
quintessence, and a cosmological constant $\Lambda$. Using up-to-date
observational data, including the Supernova Pantheon sample and cosmic
chronometer data, Hubble constants $H_0$ are estimated as
$70.37^{+0.84}_{-0.92}$ km/sec/Mpc (from $H(z)$ data) and
$70.02^{+0.44}_{-0.25}$ km/sec/Mpc (from pantheon compilation of SN Ia data).
The matter energy density parameter ($\Omega_{0m}$) is calculated as
$0.26^{0.015}_{-0.010}$(OHD) and $0.27^{0.025}_{-0.014}$(SN Ia). Furthermore,
as a function of redshift $z$, explicit expressions of $f(Q)$ and the EOS
parameter $\omega$ are produced, and their graphical analysis describes the
late time acceleration of the Universe without the usage of dark energy.
