Main Answer:
A': (-4, 1) -> (-1, -4).
B': (0, 2) -> (-2,0).
C': (-11, 3) -> (-3, -11).
Concept and definitions should be there:
Traqnslation: A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
Given that
Triangle ABC has its vertices at the following coordinates:
A(-4, 1) B(0, 2) C(-11, 3)
Solving part
Using translation concepts, the coordinates of the image of the triangle are given as follows:
A'(-1,-4), B'(-2,0), C'(-3, -11).
The rule for a 90° counterclockwise rotation about the origin is given as follows:
(x,y) -> (-y,x).
Hence the coordinates of the image of the triangle are given as follows:
A': (-4, 1) -> (-1, -4).
B': (0, 2) -> (-2,0).
C': (-11, 3) -> (-3, -11).
Final Answer:A': (-4, 1) -> (-1, -4).
B': (0, 2) -> (-2,0).
C': (-11, 3) -> (-3, -11).
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