Question

Point a (-7 -2) is rotated 270 clockwise rotation and shifted 3 units downs what is the coordinate of K'

Answer 1

Answer:

$K'(2,-10)$.

Step-by-step explanation:

The given point is K(-7,-2).

The mapping for 270 clockwise rotation about the origin is $(x,y)\to (-y,x)$.

The image of K(-7,-2) after a $270\degree$ clockwise rotation is (2,-7).

When (2,-7)  is shifted 3 units down, then x-coordinate will remain the same but the y-coordinate will reduce by 3 units.

The image K(-7,-2) after 270 degrees clockwise rotation followed by a shift of 3 units down is $K'(2,-10)$.