Question

Suppose point P(4,-9) is translated according to the rule (x,y) —> (x+3, y-2) what are the coordinates of P? Explain

Answer 1

The coordinates of point P' are (7, -11)

Explanation:

we have the rule of the transformation

(x,y) —> (x+3, y-2)

That means ----> The transformation is a translation 3 units at right and 2 units down

we know that

To find out the coordinates of point P' (image of the point P) apply the rule of the translation to the pre-image P

we have

P(4,-9)

so

P(4,-9) —> P'(4+3, -9-2)

P(4,-9) —> P'(7, -11)

therefore

The coordinates of point P' are (7, -11)