In this part you do not have to sketch the graph and you may even be given the sketch of the graph to start with. For a quadratic equation of the form \(y = k{(x - a)^2} + b\), the following ...

All quadratic functions ... then the graph just touches the x-axis without crossing it. If the equation \(ax^2 + bx + c = 0 \) has no solutions then the graph does not cross or touch the x-axis.