Describe the transformation of the parent function `y=\left|x\right|.`
y=|x-1|-5
The parent function `y = |x|` represents the absolute value of `x` graph which is a V-shaped graph with the vertex at the origin.
By looking at the given function `y = |x-1| - 5`, we can observe that there are two transformations applied to the parent function.
1. Horizontal Shift:
The function `y = |x-1|` represents a horizontal shift of the parent function `y = |x|` by 1 unit to the right. This means that the whole graph has been shifted towards the right by 1 unit.
2. Vertical Shift:
The function `y = |x-1| - 5` represents a vertical shift of the function `y = |x-1|` downward by 5 units. This means that the entire graph has been moved downward by 5 units.
In summary, the given function `y = |x-1| - 5` is a transformation of the parent function `y = |x|` with a horizontal shift of 1 unit to the right and a vertical shift of 5 units downward.