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 ...

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 ...