Worked examples The graph below has a turning point (3, -2). Write down the nature of the turning point and the equation of the axis of symmetry.

The roots of the equation y = x 2 x 4 are the x-coordinates where the graph crosses the x-axis, which can be read from the graph: x = 1.6 and x = 2.6 (1 dp).

Where a changes the width of the curve, a and b shift the axis of symmetry to the left or right, and c slides the curve up or down. The quadratic formula learned by generations of math students is ...