It seems you're sharing coordinates or a set of points from a Cartesian plane, along with a potential graph or a function. To assist you better, could you please clarify your question or specify what you would like help with? Are you looking to plot these points, find distances, calculate midpoints, or something else?
y
5+
4-
3-
2
1
-0+
x
-5 -4 -3 -2
-1
0
1
2
3
4
5
B (-3 ,- 1)
C'(2 ,- 1)
-1
-2.
A (-4 ,- 2)
C(-1 ,- 2)
-3
B4(1 ,- 3)
-4
A ' (2 ,- 4)
-5-
3 answers
To describe the transformation of a point or a figure on the Cartesian plane based on a rotation:
-
90° Clockwise Rotation about the Origin: The coordinates \((x, y)\) transform to \((y, -x)\).
-
90° Counterclockwise Rotation about the Origin: The coordinates \((x, y)\) transform to \((-y, x)\).
-
180° Rotation (both clockwise and counterclockwise): The coordinates \((x, y)\) transform to \((-x, -y)\).
-
270° Clockwise Rotation about the Origin: This is equivalent to a 90° counterclockwise rotation. The coordinates \((x, y)\) transform to \((-y, x)\).
-
270° Counterclockwise Rotation about the Origin: This is equivalent to a 90° clockwise rotation. The coordinates \((x, y)\) transform to \((y, -x)\).
If you provide specific points or figures and their positions before and after transformation, I can determine which transformation applies. However, if you know that the figure has been rotated 90° clockwise, counterclockwise, or otherwise, you can choose the answer accordingly. Please indicate the original and final coordinates if you want a more precise explanation.