Using translation concepts, it is found that the equation of the transformed function is:
y = |x + 3| - 2.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The absolute value function is given by y = |x|, and has vertex at (0,0). After the transformations, the function has vertex (-3, -2), which means that:
- It was shifted 3 units to the left, hence x -> x + 3.
- It was shifted 2 units down, hence y -> y - 2.
Thus, the equation of the function is now given by:
y = |x + 3| - 2.
More can be learned about translation concepts at brainly.com/question/4521517