To determine how the parent function \( f(x) = |x| \) was transformed to result in a new V-shaped graph, we need to analyze the given graph and its range.
From your description:
- The graph is upward facing and ranges between \( y = 0 \) to \( y = 3 \) on the y-axis.
- The x-values are from \( -3 \) to \( 3 \) in 1-unit increments.
If the graph of the function remains a V shape and is still centered at the origin but has its height limited to 3 (instead of extending indefinitely), this indicates that the function likely underwent a vertical compression or a vertical dilation.
Given these points, if the graph's peak reaches only up to \( y = 3 \), it suggests that the height of the parent function has been compressed vertically.
Thus, the correct response would be:
The parent function was vertically compressed.
However, this specific option is not listed among the responses you provided. Instead, if the graph was shifted down or up without changing its vertical extent, it may suggest other transformations. If this is not expressly mentioned, the best answer matching the situation closely is not present.
If any transformations lead to a peak at a lower height without stretching, it could indicate the function's overall shape is still similar to \( f(x) = |x| \) but contained. Please select options reflecting any available descriptions given your context if needed.
If there are any additional options or clarifications available, please let me know for precise guidance!