Absolute Value Functions and Translations Answers

When 0 < a < 1, the graph the graph of the parent function.

When a = 1, the graph the graph of the parent function.

When a > 1, the graph the graph of the parent function.

Graph: f(x)=0.8|x|f(x)= 0.8|x| | Steps: Step 1: Identify the dilation. | Step 1: | Step 2: The vertex of the parent is (0,0). A dilation does not change the vertex. Plot the vertex of the dilated function at (0,0). | Step 2: | Step 3: Evaluate the function at two more points on either side of the vertex. | Step 3: | Step 4: Plot the points (–10, 8) and (10, 8). | Step 4: | Step 5: The straight lines through these points show the graph of the function. | Step 5: | [(10) =]

Graph: f(x)=0.8|x|f(x)= 0.8|x| | Steps: Step 1: Identify the dilation. | Step 1: | Step 2: The vertex of the parent is (0,0). A dilation does not change the vertex. Plot the vertex of the dilated function at (0,0). | Step 2: | Step 3: Evaluate the function at two more points on either side of the vertex. | Step 3: | Step 4: Plot the points (–10, 8) and (10, 8). | Step 4: | Step 5: The straight lines through these points show the graph of the function. | Step 5: | [(–10) =]