For a quadratic equation of the form \(y = k{(x - a ... the vertex is a maximum turning point We can identify these properties from a quadratics graph or equation.

The graph will cross the \(y\)-axis at (0, -3). Writing \(y = x^2 – 2x - 3\) in completed square form gives \(y = (x - 1)^2 - 4\), so the coordinates of the turning point are (1, -4).