Answer:
[tex]f(x,y)\rightarrow f(x+3,y-2)[/tex]
[tex]s(-1,1)\rightarrow f(2,-1)[/tex]
Step-by-step explanation:
Given : A transformation translates the point s(-1,1) down 2 units and right 3 units.
To find : What rule describes this translation?
Solution :
When there is as shift of b unit downward means there is a shift in y by b unit.
f(x,y)→f(x,y-b) , shifting downward by b unit.
So, f(x,y)→f(x,y-2), shifting downward by 2 unit.
When there is as shift of a unit right means there is a shift in x by a unit.
f(x,y)→f(x+a,y) , shifting right by a unit.
So, f(x,y)→f(x+a,y), shifting right by 3 unit.
The rule of translation described is
[tex]f(x,y)\rightarrow f(x+3,y-2)[/tex]
In the given point [tex]s(-1,1)\rightarrow f(-1+3,1-2)=f(2,-1)[/tex]
