X2 + y2 − 4x + 12y − 20 = 0
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The image of triangle CDE after a rotation of 90º counterclockwise around the origin is graphed at the end of the answer.
<h3>What is a rotation?</h3>When a polygon undergoes a rotation, this rotation is over an angle measure, that defines the coordinate rule for each vertex of the polygon.
For triangle CDE, the vertices are given as follows:
D(-7,-1), C(-7,-7), E(-4,-8).
The rule for a rotation of 90º counterclockwise around the origin, for each vertex (x,y) of the polygon, is given by:
(x,y) -> (-y,x).
Hence, applying the rule above, the vertices of the image of triangle CDE will be given as follows:
D'(1,-7), C'(7,-7), E'(8,-4).
The triangle, with these vertices labeled, is graphed at the end of the answer.
More can be learned about rotations at brainly.com/question/28794840
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