You will learn to represent functions in different forms and use your graphing calculator to find equations that match different graphs.

**TEKS Standards and Student Expectations**

**A(2)** Linear functions, equations, and inequalities. The student applies the mathematical process standards when using properties of linear functions to write and represent in multiple ways, with and without technology, linear equations, inequalities, and systems of equations. The student is expected to:

**A(2)(C)** write linear equations in two variables given a table of values, a graph, and a verbal description

**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)(A)** graph quadratic functions on the coordinate plane and use the graph to identify key attributes, if possible, including *x*-intercept, *y*-intercept, zeros, maximum value, minimum values, vertex, and the equation of the axis of symmetry

**Resource Objective(s)**

Given the graph of a linear or quadratic function, the student will write the symbolic representation of the function.

**Essential Questions**

What are the different forms of linear functions?

How can a graphing calculator be used to match a graph to a linear equation?

How is a quadratic equation different from a linear equation?

**Vocabulary**