A quadratic graph is produced when you have an equation of the form $$y = ax^2 + bx + c$$, where $$b$$ and $$c$$ can be zero but $$a$$ cannot be zero.

All quadratic graphs have a line of symmetry.

Positive quadratic graphs (where $$a \textgreater 0$$) are U-shaped and have a turning point at the bottom of the curve. Negative quadratic graphs (where $$a \textless$$) are ∩-shaped and have a turning point at the top of the curve.

Draw the graph of $$y = x^2 – x – 4$$
 $x$ $y$ -3 -2 -1 0 1 2 3 4 5 8 2 -2 -4 -4 -2 2 8 16