Let's explore the effects that slope and the *y*-intercept have on the graph. You will discover how the graph changes when the slope and *y*-intercept change.

**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)(E) ** determine the effects on the graph of the parent function f(*x*) = *x* when f(*x*) is replaced by af(*x*), f(*x*) + d, f(*x* - c), f(b*x*) for specific values of a, b, c, and d

**Resource Objective(s)**

Given algebraic, graphical, or verbal representations of linear functions, the student will determine the effects on the graph of the parent function, f(*x*) = *x*.

**Essential Questions**

How does the graph change when the slope becomes negative?

How does the graph change when the slope increases?

How does the graph change when the *y*-intercept changes?

**Vocabulary**