Investigating Quadratic Graphs in Factorised Form

This worksheet allows you to investigate quadratic graphs given in Factorised Form. Use the sliders to change the values of a, b and c and note what happens to the shape of the graph, and where it cuts the x and y-axes.

For a quadratic graph given in the form y=a(x+b)(x+c) 1. How can you work out where the graph will cut the x-axis? 2. How can you work out where the graph will cut the y-axis?