Nicole, Jeremy, and Frances each perform a transformation on triangle RST. Each recorded his or her transformation and the location of S1 in the table. Point S of triangle RST is located at (5,7). Complete the table to determine the values of a and b that make the algebraic descriptions of each person's transformations true.
Nicole - (x,y)>(x+a,y+b) Location Of S1 (-6,12)
Jeremy - (x,y)>(ax,by) Location of S1 (-15, 21)
Frances - (x,y)>(ax+1, by -6) Location of S1 (-4,8)