Transformation involves changing the position of a point.
The image of D after the transformation is (-4,-2)
The point is given as:
[tex]\mathbf{D = (-2,-4)}[/tex]
The rule of 270 degrees counterclockwise rotation is:
[tex]\mathbf{(x,y) \to (y,-x)}[/tex]
So, we have:
[tex]\mathbf{D' = (-4,2)}[/tex]
The rule of reflection across the x-axis is:
[tex]\mathbf{(x,y) \to (x,-y)}[/tex]
So, we have:
[tex]\mathbf{D" = (-4,-2)}[/tex]
Hence, the image of D after the transformation is (-4,-2)
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