Rewrite \(y = {x^2} - 6x + 11\) in the form \(y = a{(x - b)^2} + c\). In this case \(a = 1\) as the coefficient of \({x^2}\) is \(1\). To get the number inside the bracket, we half the coefficient of ...

Below is the graph of a quadratic function, showing where the function is increasing and decreasing. If we draw in the tangents to the curve, you will notice that if the gradient of the tangent is ...