Make a quadratic graph

Arthur Lee
This can be used as a template for making different examples of quadratic graphs (by dragging the free points A,B,C). It can also be turned into an open activity in the GeoGebra Classroom. A simple question can be: Show me a quadratic graph/function that:
  • touches the x-axis and has a positive y-intercept;
  • has a maximum point and cut the x-axis on different sides of the y-axis;
  • has a positive discriminant and a negative sum of roots;
  • ......