Questions: Below is the graph of y=x. Translate it to make it the graph of y=x-4.

Transcript text: Below is the graph of $y=|x|$. Translate it to make it the graph of $y=|x|-4$.

Solution

Step 1: Identify the Original Graph

The original graph is $ y = |x| $.

Step 2: Understand the Translation

The new graph is $ y = |x| - 4 $. This represents a vertical translation of the original graph downward by 4 units.

Step 3: Apply the Translation

To translate the graph of $ y = |x| $ to $ y = |x| - 4 $, shift every point on the graph of $ y = |x| $ downward by 4 units.

The graph of $ y = |x| - 4 $ is obtained by shifting the graph of $ y = |x| $ downward by 4 units.

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