You will explore how to find the solutions to a quadratic function by looking at a graph and finding its roots.

**TEKS Standards and Student Expectations**

**A(7)** Quadratic functions and equations. The student applies the mathematical process standards when using graphs of quadratic functions and their related transformations to represent in multiple ways and determine, with and without technology, the solutions to equations. The student is expected to:

**A(7)(B)** describe the relationship between the linear factors of quadratic expressions and the zeros of their associated quadratic functions

**Resource Objective(s)**

Given a quadratic equation, the student will make connections among the solutions (roots) of the quadratic equation, the zeros of their related functions, and the horizontal intercepts (*x*-intercepts) of the graph of the function.

**Essential Questions**

How can you find the *x*-intercepts of a quadratic function?

How are the *x*-intercepts of a quadratic function and the solutions of a quadratic equation related?

How can you find the solution of a quadratic function by looking at the graph?

**Vocabulary**