The first step is to rotate point A(- 6, 8) 90 degrees counterclockwise. If a point, (x, y) is rotated 90 degrees counterclockwise, the new coordinate woule be (- y, x)
For point A, x = - 6, y = 8
Rotating point A 90 degrees counterclockwise, the new coordinate is
(- 8, - 6)
The next step is to reflect this point across the x axis. If a point is reflected across the x axis, the sign of the x coordinate remains the same while the sign of the y coordinate reverses. Thus, (x, y) becomes (x, - y)
Thus, the new coordinate of (- 8, - 6) after a reflection over the x axis is
A' = (- 8, - - 6)
A' = (- 8, 6)
The correct option is the third one