Lesson 3

Lesson 3 Summary

 

In this lesson you investigated the following question:

• How do you complete the square to convert a quadratic function in the standard form, y = ax2 + bx + c, into the vertex form, y = a(x−p)2 + q?

You learned about the standard form of the quadratic function. You converted quadratic functions in the standard form to the vertex form by completing the square.

 

 

The values of p and q, which give the coordinates of the vertex of the parabola, can easily be identified in the vertex form, y = a(x−p)2 + q. The value of p is also the x-coordinate of the axis of symmetry of the parabola.

 

In the next lesson you will investigate how to determine the characteristics of a quadratic function in standard form and how to accurately sketch the graph. You will learn how to determine that a quadratic function in the standard form represents the same function as a given quadratic function in the vertex form.