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Answer :

If the coordinate point C(1, -4), if rotated 90 degrees counterclockwise about the origin, it becomes C'(-(-4),1) which is C'(4, 1). If the coordinate is reflected across the y-axis, the resulting x-coordinate will be -4

From the question given, if the point C(x, y) is rotated 90 degrees counterclockwise about the origin, it becomes C'(-y,x).

We can see that;

  • There was a switch in coordinates
  • The y-coordinate was negated

Given the coordinate point C(1, -4), if it is rotated 90 degrees counterclockwise about the origin, it becomes C'(-(-4),1) which is C'(4, 1)

If the coordinate is reflected across the y-axis, the resulting x-coordinate will be -4

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