the image point of (-2,-3) after a translation right 2 units and 4 up units is (0,1) .
<u>Step-by-step explanation:</u>
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
. Translation is 2 units right , means there is change in x coordinate by +2 , i.e.
⇒ ![(x,y)=(-2,-3)](https://tex.z-dn.net/?f=%28x%2Cy%29%3D%28-2%2C-3%29)
⇒ ![(x+2,y)=(-2+2,-3)](https://tex.z-dn.net/?f=%28x%2B2%2Cy%29%3D%28-2%2B2%2C-3%29)
⇒ ![(x+2,y)=(0,-3)](https://tex.z-dn.net/?f=%28x%2B2%2Cy%29%3D%280%2C-3%29)
a translation 4 up units:
The point is (0,-3) , let
. Translation is 4 units up , means there is change in y coordinate by +4 , i.e.
⇒ ![(x,y)=(0,-3)](https://tex.z-dn.net/?f=%28x%2Cy%29%3D%280%2C-3%29)
⇒ ![(x,y+4)=(0,-3+4)](https://tex.z-dn.net/?f=%28x%2Cy%2B4%29%3D%280%2C-3%2B4%29)
⇒ ![(x,y+4)=(0,1)](https://tex.z-dn.net/?f=%28x%2Cy%2B4%29%3D%280%2C1%29)
Therefore , the image point of (-2,-3) after a translation right 2 units and 4 up units is (0,1) .