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

This interactive GeoGebra worksheet allows students to explore cubic functions of the form y = a(x+b)^3 + c by using sliders to adjust parameters a, b, and c. It demonstrates how changes in these parameters affect the graph's vertical stretch/compression, horizontal shift, and vertical translation, as well as the location of the inflection point. The construction uses sliders for a, b, and c, along with text objects (text1 to text6) to display the current function expression and relevant coordinates. This resource is ideal for high school students learning about transformations of polynomial functions, and for teachers demonstrating the relationship between algebraic parameters and graphical behavior in a dynamic, inquiry-based setting.