What are the different types of solutions to a quadratic equation

The video tutorial discusses the concepts of Y and X intercepts in graphs, focusing on quadratics. It explains that while Y intercepts are always present, X intercepts can vary. The tutorial explores three types of X intercepts in quadratics: one intercept where the graph touches the X-axis, two intercepts where the graph crosses the X-axis, and no intercepts where the graph does not touch the X-axis. Understanding these variations is crucial for graphing quadratics.

What is the significance of the Y intercept in a graph?

Describe the conditions under which a quadratic can have one X intercept.

How does the shape of a quadratic graph affect its intercepts?

Explain the scenario in which a quadratic graph does not cross the X axis.

What are the possible numbers of X intercepts a quadratic can have?