CURRIKI ALGEBRA UNIT 2

Lesson 2.9: Building New Functions

Linear and Exponential Relationships

Effect on the Graph

Student Worksheet 1

Part 1: Translations

Using a graphing calculator or graph paper to graph the following functions and then compare the original function to the new function.

/ Effect on the graph of f(x)

State the general rule about the effect on the graph of a function when adding a positive constant c to the function:

/ Effect on the graph of f(x)

State the general rule about the effect on the graph of a function of subtracting a positive constant c from the function:

/ Effect on the graph of f(x0

State the general rule about the effect on the graph of a function of adding a positive constant to the independent variable:

/ Effect on the graph of f(x)
y = f(x – 1) /
y = f(x – 2)
y = f(x – 3)
y = f(x – 8)

State the general rule about the effect on the graph of a function of subtracting a positive constant c from the independent variable:

Part 2: Reflections:

1. Using graph paper or a graphing calculator, graph the function:

Graph the function:

What is the effect on the graph of g(x) of multiplying x by -1?

Graph the function: -g(x)

What is the effect on the graph of g(x) of multiplying g(x) by -1?

2. Graph the function:

Based on above (Step 1.) what would you predict for the graph of and ?

Graph and

Were your predictions correct?

Part 3: Stretching and Shrinking

Graph the function:

/ Effect on the graph of

State the general rules about the effect on multiplying a function by a positive constant not equal to 1.

/ Effect on the graph of

State the general rules about the effect on multiplying the independent variable by a positive constant not equal to 1.

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