Question

Please help and give explanations! 20 pts.

Answer 1

N'(2, 3)

Explanation:

my trick is counting how many spaces away it is from the axis it's being reflected over. So for this one N was at (2, -3) so I counted upwards 3 spaces from the 2 and i got to (2,3). i hope that makes sense the way i explained it.

hope this helps ;)

Answer 2

see attached

Explanation:

You want the image of point N(2, -3) after reflection in the y-axis, plotted on the graph.

Reflection

A line of reflection is the perpendicular bisector of the segment between a point and its image. That is, the image point is as far from the line as the original point, but on the opposite side of it.

The attached figure shows the location of image point N'(-2, -3).

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Additional comment

The coordinate transformation for reflection in the y-axis just changes the sign of the x-coordinate. That puts the image point as far to the left as the original is to the right:

(x, y) ⇒ (-x, y) . . . . . . reflection in the y-axis