A dilation has center (0, 0). Find the image of the point B (1, -1) for the scale factor of 3.?

Question

A dilation has center (0, 0). Find the image of the point B (1, -1) for the scale factor of 3.

Answer 1

-----> -------->
OB ` = 3 OB

--->
OB ` = 3 (1 , - 1 )

--->
OB ` = (3 , - 3)

B `(3 , - 3)

Answer 2

Dilating the point means by multiplying the scale factor 3 by (1,-1), so the answer is (3,-3).

Answer 3

Hey there!

For (x,y), and the scale factor of 3, the new dilation will be:

(x,y)->(3x,3y).

So,
(1,-1) --> (3(1), 3(-1)) --> (3,-3)

So the point is (3,-3).

Hope it helps!