Given:
The point is (8,-9).
Rule of transformation
.
To find:
The image of given point after transformation.
Solution:
Consider the give point is P(8,-9).
Rule of transformation
represents translation T<5,-2> after that rotation 90 degrees counter clockwise.
If a figure translated by T<5,-2>, then
![(x,y)\to (x+5,y-2)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Cto%20%28x%2B5%2Cy-2%29)
![P(8,-9)\to P'(8+5,-9-2)](https://tex.z-dn.net/?f=P%288%2C-9%29%5Cto%20P%27%288%2B5%2C-9-2%29)
![P(8,-9)\to P'(13,-11)](https://tex.z-dn.net/?f=P%288%2C-9%29%5Cto%20P%27%2813%2C-11%29)
If a figure rotated 90 degrees counter clockwise, then
![(x,y)\to (-y,x)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Cto%20%28-y%2Cx%29)
![P'(13,-11)\to P''(-(-11),13)](https://tex.z-dn.net/?f=P%27%2813%2C-11%29%5Cto%20P%27%27%28-%28-11%29%2C13%29)
![P'(13,-11)\to P''(11,13)](https://tex.z-dn.net/?f=P%27%2813%2C-11%29%5Cto%20P%27%27%2811%2C13%29)
Therefore, the image of point (8,-9) after transformation is (11,13).