Translate (3, -1) 2 up

Step by step

The question

Question: translate the point P(3, −1) up 2.

1 Draw the shape

Put the point on the grid.

2 Read the move

We do not go across.

So x stays the same.

Up 2 means y gets 2 bigger: y + 2.

So every point (x, y) goes to (x, y + 2).

3 Move each point

Start at P.

Go up 2.

We land on the new point.

We call the new point P prime.

The little mark means: the new P.

P is (3, −1).

X stays 3.

Up 2: −1 plus 2 is 1.

So P' is (3, 1).

Careful!

Right and left change x.

Up and down change y.

Do not mix them up.

4 The new point

So the image is P'(3, 1).

5 Check

Let's check.

Draw an arrow from each point to its new point.

The arrow goes up 2.

Right!

Let's look back.

First: draw the shape.

Then: read the move.

Then: move each point.

Then: the new point.

Last: check.