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 $$(7,12)\text{.}$$