Translate A(-3, 3) B(0, 3) C(-3, 5) 6 right 7 down

Step by step

The question

Question: translate the shape A(−3, 3), B(0, 3) and C(−3, 5) right 6, down 7.

1 Draw the shape

Put the points on the grid and join them.

2 Read the move

Right 6 means x gets 6 bigger: x + 6.

Down 7 means y gets 7 smaller: y − 7.

So every point (x, y) goes to (x + 6, y − 7).

3 Move each point

Start at A.

Go right 6.

Then go down 7.

We land on the new point.

We call the new point A prime.

The little mark means: the new A.

A is (−3, 3).

Right 6: −3 plus 6 is 3.

Down 7: 3 minus 7 is −4.

So A' is (3, −4).

Careful!

Down makes y smaller.

So we take 7 away.

We do not add it.

Now B: 0 plus 6 is 6.

3 minus 7 is −4.

So B' is (6, −4).

Now C: −3 plus 6 is 3.

5 minus 7 is −2.

So C' is (3, −2).

4 Draw the image

Join the new points.

This new shape is called the image.

So the image is A'(3, −4), B'(6, −4) and C'(3, −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!

Let's look back.

First: draw the shape.

Then: read the move.

Then: move each point.

Then: draw the image.

Last: check.