Question

Please explain , I'm confuse

Answer 1

Answer:  W '' = (2, -3)

Explanation:

W = (-2,3) is given

Point W ' is the result of reflecting point W over the x axis. We flip the sign of the y coordinate while keeping the x coordinate the same. So W ' = (-2, -3) as shown in the diagram below. The rule for reflecting over the x axis is $(x,y) \to (x,-y)$

Then reflecting over the y axis will have W ' = (-2, -3) become W '' = (2, -3). We flipped the x coordinate's sign this time. The rule for reflecting over the y axis is $(x,y) \to (-x,y)$

Going from W = (-2, 3) to W '' = (2, -3) is the rule $(x,y) \to (-x,-y)$ which exactly describes a 180 degree rotation (either clockwise or counterclockwise).

This is one example showing how a composition of reflections results in a rotation. Note that you must have an even number of reflections to produce a rotation. One reflection reverses the orientation, so another reflection is needed to revert back to the original orientation (otherwise, a rotation is not possible as a rotation preserves orientation).

Answer 2

Answer:

(2, -3 )

Step-by-step explanation:

Where the y axis is left side we are asked to reflect -2 3 across into the 3rd quadrant. Then reflect across the y axis line into quadrant 4.

We see that x coordinate will stay -2,  but change from -2, 3  to -2, -3 into quadrant 3 and then stay -3 but change to 2 , -3 into quadrant 4.