The parabola opens upward.

The \(x\)-intercepts are \((3,0)\) and \((4,0)\text{.}\)

The \(y\)-intercept is \((0,12)\text{.}\)

The vertex is \((3.5,-0.25)\) and the axis of symmetry is \(x=3.5\text{.}\)

Symmetry can be used to determine the point \((7,12)\text{.}\)