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Khentim

First is was changed 90 degrees counterclockwise to the origin. after that the horizontal transformation of the units is  (x,y) (-y,x) and (x,y)(x+2,y)


MrRoyal

Transformation includes changing the position of a shape.

  • The sequence of transformation is 90 degrees counterclockwise rotation, followed by a horizontal translation to the right by 2 units
  • The ordered pair-rule for each are [tex](x,y) \to (-y,x)[/tex]  and [tex](x,y) \to (x + 2,y)[/tex]

The sequence of transformation

From the figure, we observed that ABC was rotated and then translated

So, the sequence of transformation on ABC are:

  • 90 degrees counterclockwise rotation
  • Horizontal translation to the right by 2 units

The ordered pair rule

When a point is rotated 90 degrees counterclockwise, the rule of transformation is:

[tex](x,y) \to (-y,x)[/tex]

When a point is translated 2 units right, the rule of transformation is:

[tex](x,y) \to (x + 2,y)[/tex]

Read more about transformations at:

https://brainly.com/question/13801312