Graphing a quadratic function in standard form

The video tutorial explains how to graph a quadratic equation in the form y = ax^2, focusing on the example y = 1/2x^2. It covers the role of the parameter 'a', the axis of symmetry, and how to choose points for graphing. The tutorial provides tips for handling fractions and creating a table of values. It demonstrates plotting points and understanding graph reflection, concluding with a summary of key graph features like the vertex and intercepts.

How can you determine the y-coordinates for the chosen x-values in the equation y = ax²?

What is the significance of the vertex in a parabola?

What are the x and y intercepts of the graph of y = ax²?