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 diagram ...

Graphs of Sine and Cosine 1.2 An applet illustrating how the graphs of sine and cosine are related to the unit circle. Transformations of Functions 1.3 An applet illustrating how transformations ...

Give an example of a function with one critical point which is also an inflection point. You must provide the equation of your function. Give an example of a function that satisfies \(f(-1)=f(1)=0\) ...

The graph below has a turning point (3, -2). Write down the nature of the turning point and the equation of the axis of symmetry. For the parabola \(y=(x+6)(x-4)\) determine the coordinates and nature ...