Let's explore the different parent functions and learn how to determine if a graph or an equation represents a linear or quadratic function.

**TEKS Standards and Student Expectations**

**A(3) **Linear functions, equations, and inequalities. The student applies the mathematical process standards when using graphs of linear functions, key features, and related transformations to represent in multiple ways and solve, with and without technology, equations, inequalities, and systems of equations. The student is expected to:

**A(3)(C)** graph linear functions on the coordinate plane and identify key features, including** ***x*‐intercept, *y*‐intercept, zeros, and slope, in mathematical and real world problems

**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)**

To determine if a graph or verbal description has a linear or quadratic parent function.

**Essential Questions**

What does a linear function look like as a graph and an equation?

What does a quadratic function look like as a graph and an equation?

**Vocabulary**

- Parent Function
- Linear Function
- Quadratic Function