The equation y + 1 = log₂ (x+1) can be rewritten as y = log₂ (x+1) - 1.
To graph this equation, we can start by finding some key points:
When x = -1, y = log₂ (0) - 1 = -∞
When x = 0, y = log₂ (1) - 1 = -1
When x = 1, y = log₂ (2) - 1 = 0
When x = 3, y = log₂ (4) - 1 = 1
Using these key points, we can sketch the graph of the equation as follows:
```
|
2 | o
|
1 | o
|
0 |o
|
-1 | o
|
-------------
-1 0 1 3
```
The graph is a curve that starts at (-1, -∞) and approaches the line y = -1 as x approaches 0. It then passes through the point (1, 0) and approaches the line y = 1 as x goes to infinity.