Final answer:
The question is missing specific details about the transformation applied to the graph of a linear equation with a slope of 3 and a y-intercept of 9. Without additional details, it's not possible to determine an exact point on the transformed graph or the sum of its coordinates.
Step-by-step explanation:
The question appears to be incomplete as it refers to a graph of a line with a given slope and y-intercept, but it doesn't specify the original function or the transformed function. Nevertheless, if we assume that the point refers to a point on the graph of a linear equation with a slope of 3 and a y-intercept of 9, and the transformed function is a characteristic vertical shift or horizontal shift, we can infer certain properties.
For any point on the graph of a linear equation with slope (rise over run) of 3 and y-intercept of 9, the equation of the line can be given as y = 3x + 9. If a point (x, y) is on this graph, and we apply a transformation such as y = f(x) + c or y = f(x - c), for some constant c, the graph shifts but maintains its slope. Therefore, a new point will still lie on a line parallel to the original and have the same slope.
To find the sum of the coordinates of any such point, we can set up the equation y = 3x + 9 + c or y = 3(x - c) + 9, depending on the transformation. However, without additional information, we cannot determine the exact coordinates of the point after transformation or the sum of its coordinates.