It seems like you're asking for the image of a geometric figure represented by the points with coordinates (10.0, A), (9.2, C), (12.0, B), (8.0, P), and (14.4, 14.4) under a dilation with a specified center and scale factor, but the center and scale factor are missing from your question.
To perform a dilation, we typically use the formula:
\[ \text{Image} = O + k(P - O) \]
Where:
- \( O \) is the center of dilation
- \( P \) is the original point
- \( k \) is the scale factor
If you can provide the center of dilation and the scale factor, I can assist you in calculating the coordinates of the dilated image.