The graph of the function
is added as an attachment
Sketching the graph of the function
From the question, we have the following parameters that can be used in our computation:
y = negative log (x minus 2) + 3
This means that

The above function is a logarithmic function that has been transformed as follows
- Reflected across the x-axis
- Shifted up by 3 units
- Shifted right by 2 units
Next, we plot the graph using a graphing tool by taking not of the above transformations rules
The graph of the function is added as an attachment