Question

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

Answer 1

To find the coordinate of K', we first rotate point a (-7,-2) 270 degrees clockwise. Then, we shift the resulting coordinates 3 units down. The coordinate of K' is (-7, -5).

Step-by-step explanation:

To find the coordinate of K', we first need to rotate point a (-7,-2) 270 degrees clockwise. To do this, we can use the rotation matrix:

[cos(theta) -sin(theta)] [x]
[sin(theta) cos(theta)] [y]

Plugging in the values, we get:

[cos(270) -sin(270)] [-7]
[sin(270) cos(270)] [-2]

Simplifying, we have:

[-0 -1] [-7]
[1 0]] [-2]

Multiplying, we get:

[0 -7]
[1 0]]

Now, we shift the resulting coordinates 3 units down. Adding -3 to the y-coordinate, the coordinate of K' is (-7, -5).