Solving a quadratic by graphing

The video tutorial explains how to solve inequalities by graphing. It begins by introducing the concept of solving inequalities and then moves on to demonstrate how to complete the square to convert a quadratic equation into vertex form. The tutorial then shows how to graph the function using the vertex and intercepts, emphasizing the importance of symmetry. Finally, it covers how to test inequalities using test points and determine the correct shading for the graph.

What is the first step suggested to solve the inequality problem?

Explain the process of completing the square as described in the text.

What does the negative sign in front of the X squared indicate about the graph?

How do you find the vertex of the graph based on the given function?

What is the significance of the Y intercept in the context of this graph?

Describe how to test the inequality using test points.

What does it mean for the inequality symbol to be greater than or equal to in terms of the graph's line?