Answer:
Explanation:
The graph of y = |x| - 7 is similar to the graph of y = |x| in that both are V-shaped graphs that represent the absolute value function. However, there is a key difference between them:
**Similarity**:
- Both graphs have a V-shape that opens upward, which is characteristic of absolute value functions.
- They both have a vertex at the point (0, -7), where the graph intersects the y-axis. This is because, when x = 0, |x| = 0, and 0 - 7 = -7.
**Difference**:
- The graph of y = |x| is a V-shaped graph that intersects the x-axis at (0, 0) and doesn't have a vertical shift (shifting up or down).
- In contrast, the graph of y = |x| - 7 is the same as y = |x|, but it has been shifted downward by 7 units. This means that every point on the graph of y = |x| - 7 is 7 units below the corresponding point on the graph of y = |x|.
In summary, the key difference is the vertical shift downward by 7 units in the graph of y = |x| - 7 compared to y = |x|.