Graph the image of the figure after a dilation with a scale factor of 3 centered at (2,−7) . Use the Polygon tool to graph the quadrilateral by connecting all its vertices.

Answer:Step-by-step explanation:Each point moves 3 times the distance from the center of dilation that it was. You can compute the new coordinates by ...  L = P - O . . . . . the length from O to P is P-O for some point P and origin O Then 3 times that distance is  3L = 3P -3O We want to find the point P' that is 3L from O, so we add this distance to the coordinates of O. We get ...  P' = 3L +O = 3P -3O +O  P' = 3P -2O So, for the lower left point A(-2, -7), the dilated image point A' is ...  A' = 3(-2, -7) -2(2, -7) = (-6, -21) +(-4, 14) = (-10, -7) That is, ...  A' = 3A +(-4, 14) The coordinates of the remaining points can be found similarly. ___ On a graph, it is usually fairly easy to count the grid squares in each direction between the point of interest and the center of dilation. The image point is 3 times the distance in each direction (horizontally, vertically).