Use the function rules to find the coordinates of A”B”C and predict the quandrwnt will be in after the transformation ABC with coordinates A(-8,4) B(-5,8) and C(-3,3) is transformed by(x,y)->(x+4,y-6) to produce A’B’C’ A’B’C’ is transformed by the rule (x,y)-> (x+5,y-3) creat the rule for the composition transformation and predict what wuandrant will be in
To find the coordinates of A'B'C', we need to apply both transformation rules, (x,y) -> (x+4,y-6) and (x,y) -> (x+5,y-3), to the original coordinates of A, B, and C.
For point A(-8,4):
First transformation: (-8+4, 4-6) = (-4, -2)
Second transformation: (-4+5, -2-3) = (1, -5)
So, point A will be transformed to A'(1, -5).
For point B(-5,8):
First transformation: (-5+4, 8-6) = (-1, 2)
Second transformation: (-1+5, 2-3) = (4, -1)
So, point B will be transformed to B'(4, -1).
For point C(-3,3):
First transformation: (-3+4, 3-6) = (1, -3)
Second transformation: (1+5, -3-3) = (6, -6)
So, point C will be transformed to C'(6, -6).
The composition transformation rule is obtained by performing the two individual transformations in sequence. So, the composition transformation rule is:
(x,y) -> ((x+4)+5, (y-6)-3) = (x+9, y-9)
For any point P(x,y) in the original coordinate system, after the composition transformation, P will be in the same quadrant as the original point.