Let's analyze the given transformation rule and what it represents. The transformation rule is [tex]\((w+5, z)\)[/tex].
1. Understand the rule:
- The original point is [tex]\((w, z)\)[/tex].
- After transformation, the new point is [tex]\((w+5, z)\)[/tex].
2. Identify the changes in coordinates:
- The [tex]\(w\)[/tex]-coordinate of the point is increased by 5.
- The [tex]\(z\)[/tex]-coordinate of the point remains the same.
3. Interpret the change in the [tex]\(w\)[/tex]-coordinate:
- Because the [tex]\(w\)[/tex]-coordinate represents the horizontal position, adding 5 to [tex]\(w\)[/tex] means we are moving the point 5 units to the right.
So, the type of transformation is a translation of 5 units to the right.
