Absolute Value

Absolute Value Functions

Transformations

Example

Graph the function f(x) = - Ix + 3I - 4. Explain how this graph would compare to the parent function.

Step 1. Explain the a-value.

Since a = -1, the graph is reflected across the x-axis.

Step 2. Explain the h-value.

Since h = -3, the graph will translate 3 units left.

Step 3. Explain the k-value.

Since k = -4, the graph will translate 4 units down.

Step 4. Make a graph.

Transformations2
The red graph represents the parent function. The blue graph represents the translation function.