I need help setting up the problem

False; The correct image should be W ' (-4, 3)

See the diagram below.

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Explanation:

Plot the point W (-4,1) on the xy grid system.

Then draw a horizontal line through 2 on the y axis. This represents the line y = 2 since all points on this line have y coordinate 2.

Notice the vertical distance from W to the line y = 2 is exactly 1 unit. We must move up 1 unit to go from W to the line. Move another 1 unit upward to arrive at W ' (-4, 3)

The correct image point is W ' (-4, 3)

The diagram below visually summarizes everything.

We can see that the x coordinate doesn't change. Only the y coordinate does. Specifically we moved 2 units upward overall. Another thing to notice is that the distance from each point to the line is the same (each 1 unit).

Step-by-step explanation:

Reflection over a vertical line results in change of x-coordinate only and y-coordinate remains same

We have W(-4, 1) and W'(0, 1)

Since both coordinates are different, the conclusion is False