Translate A(-1, 2) B(2, 2) 4 down Step by Step

Step by step

The question

Question: translate the shape A(−1, 2) and B(2, 2) down 4.

A(−1, 2) and B(2, 2)

= down 4

1 Draw the shape

Put the points on the grid and join them.

2 Read the move

We do not go across.

So x stays the same.

x stays the same

Down 4 means y gets 4 smaller: y − 4.

Down 4 → y − 4

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

(x, y) → (x, y − 4)

3 Move each point

Start at A.

Go down 4.

We land on the new point.

We call the new point A prime.

The little mark means: the new A.

A is (−1, 2).

X stays −1.

Down 4: 2 minus 4 is −2.

So A' is (−1, −2).

A(−1, 2) → (−1, 2 − 4) = A'(−1, −2)

Careful!

Down makes y smaller.

So we take 4 away.

We do not add it.

Careful: not A'(−1, 2 + 4) ✗

Now B: 2 minus 4 is −2.

So B' is (2, −2).

B(2, 2) → (2, 2 − 4) = B'(2, −2)

4 Draw the image

Join the new points.

This new shape is called the image.

So the image is A'(−1, −2) and B'(2, −2).

A'(−1, −2) and B'(2, −2)

5 Check

Let's check.

Draw an arrow from each point to its new point.

All the arrows are the same: the same length, the same way.

So the shape slid, without turning.

Right!

A → A', B → B': down 4

Let's look back.

First: draw the shape.

Then: read the move.

Then: move each point.

Then: draw the image.

Last: check.

Answer