When rotating a point 270 degrees counterclockwise about the origin,
a point (x,y) becomes (y,-x).
This means, we switch x and y and negate x.
The point to rotate 270 degrees counterclockwise is (2, -3). According to the rule, it will becomes:
(-3,-2)
From the answer choices, it is C
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A translation is horizontal direction and vertical direction is given by the ordered pair:
Where
x is the horizontal translation (negative if left, positive if right)
y is the vertical translation (negative if down, positive if up)
So, a translation of 7 unit left and 1 unit down in going to be:
<-7, -1>
From the answer choices, it is D