Make a quadratic graph

This can be used as a template for making different examples of quadratic graphs (by dragging the free points A,B,C).[br][br]It can also be turned into an open activity in the GeoGebra Classroom. A simple question can be:[br][br]Show me a quadratic graph/function that:[br][br][list][*]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;[/*][*]......[/*][/list]

Information: Make a quadratic graph