Answer:
[tex]K'(2,-10)[/tex].
Step-by-step explanation:
The given point is K(-7,-2).
The mapping for 270 clockwise rotation about the origin is [tex](x,y)\to (-y,x)[/tex].
The image of K(-7,-2) after a [tex]270\degree[/tex] 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 [tex]K'(2,-10)[/tex].
