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)³3 +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 determine where the graph will cut the y-axis?