The axis of symmety is \( x=5 \). What are the transformations from the parent function? A. The function is translated 2 units to the left and vertically stretched by a factor of 5 . B. The function is translated 5 units to the left and 2 units down. C. The function is translated 2 units to the right and vertically stretched by a factor of 5 . D. The function is translated 5 units to the right and 2 units down. O. The function is translated 5 units to the right and 2 units up. F. The function is translated 2 units down and vert \( c a l l y \) strelched by a factor of 5 .

To find the transformations based on the axis of symmetry \( x=5 \), we should focus on how this affects the parent function. The axis of symmetry indicates a horizontal shift. If the axis of symmetry is located at \( x=5 \), this means the parent function has been shifted 5 units to the right from its standard position (typically at \( x=0 \)). In addition, since we're not provided with details about vertical transformations, there remains a possibility of vertical stretching as part of the description. Thus, the correct answer will involve translating the function right and a vertical stretch. So, the function is translated 5 units to the right, leaving the possibility of vertical adjustments, but there’s no evidence of downward or upward movement specifically mentioned in the informative details provided above. So, there may still be confusion with other options regarding vertical shifts, but from the information provided, we would derive that the most accurate transformation involves 5 units to the right.