Quadratic Functions

Every quadratic $a{x}^2+bx+c$ graphs as a parabola — a U-shape (when $a>0$) or upside-down U (when $a<0$). To sketch it cleanly, find four landmarks: the vertex, the axis of symmetry, the y-intercept, and the x-intercepts.

In our function: $a=1$ (positive → opens up), $b=-4$, $c=3$.