Quadratic and Cubic Graphs: Shapes, Plotting, and Analysis

The video tutorial covers quadratic and cubic graphs. It begins with an introduction to quadratic graphs, explaining their positive and negative shapes. The tutorial then guides viewers on how to plot these graphs using a table of values and discusses the concept of roots. It further explores how to find maximum and minimum points on quadratic graphs, including the use of completing the square. The video concludes with an introduction to cubic graphs, highlighting their unique shapes and turning points.

What are the two shapes of quadratic graphs and how can you distinguish between them?

How do you plot a quadratic graph using X values?

What are the roots of a quadratic graph and how are they related to the solutions of the equation?

Explain how to find the maximum and minimum points of a quadratic graph.

Describe the characteristics of cubic graphs and how they differ from quadratic graphs.