This course covers a top-down approach to understanding key concepts related to the graphical representation of functions and their derivatives. Key topics include: - Quadratic graphs, including plotting graphs using tables of values, the axis of symmetry, and the turning point/vertex. - Standard equations of parabolas, and how to find the axis of symmetry and turning point using the completing square method - Reciprocal equations and hyperbolas, and the equations of asymptotes - Graphical solutions of quadratic equations - Solving sets of equations simultaneously using graphical methods - Differentiation of straight lines, parabolas, hyperbolas, cubic curves, and exponential curves - Calculating the gradient of a point on the curve, determining the coordinates using derivatives, and locating turning points - Connection between derivatives and the gradient