Glide reflect (-2, 3): reflect in the y-axis, then translate 3 up

Step by step

The question

Question: glide reflect the point P(−2, 3): reflect in the y-axis, then translate up 3.

1 Draw the shape

Put the point on the grid.

The mirror line is the y-axis.

A glide reflection is a slide along the mirror line, and a flip in it.

Like footprints in the sand: left, right, left.

Careful!

The mirror line is upright.

So the slide goes up or down, along it.

Any other slide is not a glide.

2 Flip

Flip in the y-axis: x changes sign, y stays.

The rule: (−x, y).

P is (−2, 3): it goes to (2, 3).

3 Slide

Up 3: y gets 3 bigger.

The rule: (x, y + 3).

P' is (2, 3): it goes to (2, 6).

So the image is P''(2, 6).

4 Check

Let's check the other way round: slide first, then flip.

For a glide, it must give the same points.

The same points as before.

Right!

Let's look back.

First: draw the shape.

Then: flip.

Then: slide.

Last: check.