Translate (2, 3) 4 left

Step by step

The question

Question: translate the point P(2, 3) left 4.

1 Draw the shape

Put the point on the grid.

2 Read the move

Left 4 means x gets 4 smaller: x − 4.

We do not go up or down.

So y stays the same.

So every point (x, y) goes to (x − 4, y).

3 Move each point

Start at P.

Go left 4.

We land on the new point.

We call the new point P prime.

The little mark means: the new P.

P is (2, 3).

Left 4: 2 minus 4 is −2.

Y stays 3.

So P' is (−2, 3).

Careful!

Left makes x smaller.

So we take 4 away.

We do not add it.

4 The new point

So the image is P'(−2, 3).

5 Check

Let's check.

Draw an arrow from each point to its new point.

The arrow goes left 4.

Right!

Let's look back.

First: draw the shape.

Then: read the move.

Then: move each point.

Then: the new point.

Last: check.