Step by step
The question
Question: translate the shape A(1, −2), B(3, −2) and C(3, 1) left 5.
1 Draw the shape
Put the points on the grid and join them.
2 Read the move
Left 5 means x gets 5 smaller: x − 5.
We do not go up or down.
So y stays the same.
So every point (x, y) goes to (x − 5, y).
3 Move each point
Start at A.
Go left 5.
We land on the new point.
We call the new point A prime.
The little mark means: the new A.
A is (1, −2).
Left 5: 1 minus 5 is −4.
Y stays −2.
So A' is (−4, −2).
Careful!
Left makes x smaller.
So we take 5 away.
We do not add it.
Now B: 3 minus 5 is −2.
So B' is (−2, −2).
Now C: 3 minus 5 is −2.
So C' is (−2, 1).
4 Draw the image
Join the new points.
This new shape is called the image.
So the image is A'(−4, −2), B'(−2, −2) and C'(−2, 1).
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.