Graphing a quadratic function in standard form

The video tutorial demonstrates how to graph the quadratic equation y = -x^2 + 1 using a table of values. It covers setting up the x and y axes, choosing x-values, calculating corresponding y-values, and plotting these points to form a parabola. The tutorial explains the importance of the axis of symmetry, the vertex, and how the graph's shape is affected by the equation's coefficients. It also discusses the graph's symmetry and intercepts, providing a comprehensive understanding of graphing quadratics.

How does the graph change when the constant term is added to the quadratic function?

What is the vertex of the graph and how is it related to the axis of symmetry?

What are the x-intercepts of the graph of the function?