Question

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)

Answer 1

Nicole - (x,y)>(x -11 ,y+5) Location Of S1 (-6,12)
Jeremy - (x,y)>(-3x,3y) Location of S1 (-15, 21)
Frances - (x,y)>(-1x+1, 2y -6) Location of S1 (-4,8)

Nicole did a translation so you add or subtract to get to S1 (5,7) 5-11= -6, 7+5 = 12 (-6,12)
Jeremy did a dilation you multiply by a factor to fget s1 . -3*5 =-15, 3*7= 21 (-15, 21)
Frances dilation and an addition or subtraction first. -1(5)+1 = -4, 2(7)-6 = 8 (-4,8)