The graph of these functions is shown in the image attached below.
Given the following data:
- Translation = 2 units right, 2 units up.
- Dilation factor = [tex]\frac{1}{3}[/tex]
What is a graph?
A graph can be defined as the graphical representation of data on both the horizontal and vertical lines, which are commonly referred to as the x-axis and y-axis respectively.
For this exercise, when the given function is translated 2 units to the right, it is given by [tex]g(x)=|x-2|[/tex].
Also, when we translate the function 2 units up, it is given by [tex]h(x)=|x-2|+2[/tex]
Lastly, when we apply a dilation factor of [tex]\frac{1}{3}[/tex], we would have [tex]i(x)=\frac{1}{3} |x-2|+2[/tex]
In conclusion, when plot the points for these functions on the x-axis and y-axis respectively, we have the graph shown in the image attached below.
Read more on graphs here: https://brainly.com/question/25875680
