Question

What is the imgae point of (-2,-3) after a translation right 2 units and 4 up units?​

Answer 1

the image point of (-2,-3) after a translation right 2 units and 4 up units is (0,1) .

Step-by-step explanation:

Here we have , to find  the image point of (-2,-3) after a translation right 2 units and 4 up units . Let's find out:

Initially we have the point as  (-2,-3) , Following transformations are done :

a translation right 2 units :

The point is (-2,-3)  , let $(x,y)=(-2,-3)$ . Translation is 2 units right , means there is change in x coordinate by +2 , i.e.

⇒ $(x,y)=(-2,-3)$

⇒ $(x+2,y)=(-2+2,-3)$

⇒ $(x+2,y)=(0,-3)$

a translation  4 up units:

The point is (0,-3)  , let $(x,y)=(0,-3)$ . Translation is 4 units up , means there is change in y coordinate by +4 , i.e.

⇒ $(x,y)=(0,-3)$

⇒ $(x,y+4)=(0,-3+4)$

⇒ $(x,y+4)=(0,1)$

Therefore , the image point of (-2,-3) after a translation right 2 units and 4 up units is (0,1) .