Graphing a basic quadratic function using a table

This video tutorial demonstrates how to graph the quadratic equation y = 1/2x² using a table of values. The instructor explains the process of setting up a table with selected x-values, calculating the corresponding y-values, and plotting these points on a graph. The tutorial emphasizes the symmetry of the parabola and the importance of choosing values that simplify calculations. The video concludes with drawing the parabola and indicating its extension to infinity.

What is the equation of the parabola being graphed in the video?

What method does the teacher suggest for graphing the quadratic function?

List the x-coordinates chosen for the table of values.

How does the teacher calculate the y-coordinate for x = -4?

What observation does the teacher make about the graph as it extends?