Answer:
The graph has been attached.
Step-by-step explanation:
We have to graph the function y=|x+2|-3
The parent function is y = |x|.
It is a v-shaped curve, with vertex at (0,0) as shown in the figure with dotted curve.
We use rule of transformation of graph:
- When we add a constant 'a' in x then graph shifts 'a' units left
- When we subtract a constant 'a' in function then graph shifts a units down
Now, we translate this graph 3 units down and 2 units left. Thus, the equation of the parent function becomes y=|x+2|-3. The curve is v-shaped and the vertex is at (-2,-3).
Now, we can easily graph the function y=|x+2|-3
