Motion In A Straight Line

A particle moves along the $x$-axis and has its displacement $x$ varying with time t according to the equation:

\(x=\mathrm{c}_0\left(\mathrm{t}^2-2\right)+\mathrm{c}(\mathrm{t}-2)^2\)

where $\mathrm{c}_0$ and c are constants of appropriate dimensions.

Then, which of the following statements is correct?