Translate (4, 4) 1 left 6 down

Step by step

The question

Question: translate the point P(4, 4) left 1, down 6.

1 Draw the shape

Put the point on the grid.

2 Read the move

Left 1 means x gets 1 smaller: x − 1.

Down 6 means y gets 6 smaller: y − 6.

So every point (x, y) goes to (x − 1, y − 6).

3 Move each point

Start at P.

Go left 1.

Then go down 6.

We land on the new point.

We call the new point P prime.

The little mark means: the new P.

P is (4, 4).

Left 1: 4 minus 1 is 3.

Down 6: 4 minus 6 is −2.

So P' is (3, −2).

Careful!

Down makes y smaller.

So we take 6 away.

We do not add it.

4 The new point

So the image is P'(3, −2).

5 Check

Let's check.

Draw an arrow from each point to its new point.

The arrow goes left 1, down 6.

Right!

Let's look back.

First: draw the shape.

Then: read the move.

Then: move each point.

Then: the new point.

Last: check.