Question

Point Q(2, −1) is translated 3 units left. What are the coordinates of its image after this transformation? Enter your answer in the boxes.

Answer 1

Answer: The co-ordinates of the image of point Q(3, -1) are (-1, -1).

Step-by-step explanation: Given that the point Q(2, -1) is translated 3 units left.

We are to find the co-ordinates of the image of point Q.

The rule for the translation of 3 units left of a point (x, y) is given by

(x, y) ⇒ (x-3, y).

So, when Q(2, -1) is translated 3 units left, its co-ordinates becomes

Q(2, -1) ⇒ Q'(2-3, -1) = Q'(-1, -1).

Thus, the co-ordinates of the image of point Q(3, -1) are (-1, -1).

Answer 2

A translation 3 units to the left has a rule:

(x,y)→(x-3,y).

Then the image point of the point Q(2, −1) will be:

Q(2, −1)→Q'(2-3,-1)=Q'(-1,-1).

Answer: Q'(-1,-1)