Investigating Cubic Graphs of the Form y = a(x+b)^3 +c

This worksheet allows you to investigate cubic graphs given in the form y = a(x + b)^3 +c. Use the sliders to change the values of a, b and c and note what happens to the shape of the graph, and the position of the point of inflection (the point where the curve twists). How can you work out the y-intercept from the equation?

For a cubic graph given in the form y=a(x+b)^3 +c 1. How can you tell where the point of inflection of the graph will be? 2. How can you work out where the graph will cut the y-axis?