The image of the transformation of the ordered pair is (-2,-6)
The ordered pair is given as:
(1, -3)
The transformation is given as:
D₂ o Ry-axis
This means a dilation by a scale factor of 2 and then a reflection across the y-axis.
The image of the dilation is:
(x,y) = 2 * (1,-3)
(x,y) = (2,-6)
The rule of reflection across the y-axis is
(x,y) = (-x,y)
So, we have:
(x,y) = (-2,-6)
Hence, the image of the transformation is (-2,-6)
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