Steply

Translate P(-2, 1) 5 right

Step by step, with the reason for every step · Translations · Geometry

Step by step

The question

Question: translate the point P(−2, 1) right 5.

P = (−2, 1)
= right 5

1 Draw the shape

Put the point on the grid.

2 Read the move

Right 5 means x gets 5 bigger: x + 5.

Right 5 → x + 5

We do not go up or down.

So y stays the same.

y stays the same

So every point (x, y) goes to (x + 5, y).

(x, y) → (x + 5, y)

3 Move each point

Start at P.

Go right 5.

We land on the new point.

We call the new point P prime.

The little mark means: the new P.

P is (−2, 1).

Right 5: −2 plus 5 is 3.

Y stays 1.

So P' is (3, 1).

P(−2, 1) → (−2 + 5, 1) = P'(3, 1)

Careful!

Right and left change x.

Up and down change y.

Do not mix them up.

Careful: right → x, up → y

4 The new point

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

P' = (3, 1)

5 Check

Let's check.

Draw an arrow from each point to its new point.

The arrow goes right 5.

Right!

P → P': right 5

Let's look back.

First: draw the shape.

Then: read the move.

Then: move each point.

Then: the new point.

Last: check.

Answer
P' = (3, 1)

Your turn

Try this one yourself, then check:

P(−1, 2): right 4
Show the answer
P' = (3, 2)

More from Translations

The whole lesson: Translations →