Therefore, aim to recognise the equations and graphs of quadratics, cubics, reciprocals, exponentials and circles. Sketch \(y = x^2 + x − 6\). The quadratic factorises to give \((x + 3)(x − 2 ...

If \(f(x) = x^2\), then \(af(x) = a(x^2)\). This tells us that we need to multiply each of the \(y\) coordinates on the graph by \(a\) in order to stretch the original graph. Looking at some ...