To find the coordinates of ΔA'B'C', we need to apply the given transformations one by one.
1. Transformation (x,y)→(x+4,y−6):
For point A(-8,4):
New x-coordinate = -8 + 4 = -4
New y-coordinate = 4 - 6 = -2
So, A'(-4, -2)
For point B(-5,8):
New x-coordinate = -5 + 4 = -1
New y-coordinate = 8 - 6 = 2
So, B'(-1, 2)
For point C(-3,3):
New x-coordinate = -3 + 4 = 1
New y-coordinate = 3 - 6 = -3
So, C'(1, -3)
2. Transformation (x,y)→(x+5,y−3):
For point A'(-4, -2):
New x-coordinate = -4 + 5 = 1
New y-coordinate = -2 - 3 = -5
So, A''(1, -5)
For point B'(-1, 2):
New x-coordinate = -1 + 5 = 4
New y-coordinate = 2 - 3 = -1
So, B''(4, -1)
For point C'(1, -3):
New x-coordinate = 1 + 5 = 6
New y-coordinate = -3 - 3 = -6
So, C''(6, -6)
The coordinates of ΔA''B''C'' are A''(1, -5), B''(4, -1), and C''(6, -6).
Since all the x-coordinates are positive and all the y-coordinates are negative, ΔA''B''C'' will be in the fourth quadrant after the transformations.
Use the function rules to find the coordinates of ΔA"B"C"
and predict the quadrant it will be in after the transformations. ΔABC
, with coordinates A(−8,4)
, B(−5,8)
, and C(−3,3)
, is transformed by (x,y)→(x+4,y−6)
to produce ΔA′B′C′
. ΔA′B′C′
is transformed by the rule (x,y)→(x+5,y−3)
. Create the rule for the composition transformation and predict what quadrant the image will be in.
1 answer