Step by step
The question
Question: translate the point 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.
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 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).
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 right 5.
Right!
Let's look back.
First: draw the shape.
Then: read the move.
Then: move each point.
Then: the new point.
Last: check.