Graphing and Finding Equations of Transformed Absolute Value Functions

Tutoring on Graphing and Finding Equations of Transformed Absolute Value Functions

Learning Objectives:

Understand to Graph and Solve Equations of Transformed Absolute Value Functions.

Graphing and Finding Equations of Transformed Absolute Value Functions

An absolute value function is a function whose rule contains an absolute value expression. The parent graph for absolute values is f(x)=|x| and the general shape will look like a “v” . When we graph y = -|x| we have the exact same shape as the graph of  y = |x| only the “v” shape is upside down now.  There appears to be a pattern when it comes to graphing absolute value functions.  

1) When you have a function in the form y = |x + h| the graph will move h units to the left. 

2) When you have a function in the form y = |x - h| the graph will move h units to the right.

3) When you have a function in the form y = |x| + k the graph will move up k units.

4) When you have a function in the form y = |x| - k the graph will move down k units.   

5) If you have a negative sign in front of the absolute value, the graph will be reflected, or flipped, over the x-axis.

 

 

Hook questions:

1. What is an absolute value function?

2. What is meant by absolute value transformation?

3. What is meant by parent function and transformation?

 

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