For a quadratic equation of the form \(y = k{(x - a)^2} + b\), the following diagram shows the main properties: If k > 0, the vertex is a minimum turning point If k < 0, the vertex is a maximum ...

which means that the minimum value of the term \((x - 3)^2 - 5\) is given when \(x = 3\). This also gives the equation of the line of symmetry for the quadratic graph. The value of \(y\) when \(x ...