Question

Which of the following function rules will translate all of the coordinates of a function f(x,y) to the right 2 units and five units down.
1. f(x,y) = (2x, -5y)
2. (x-2, y-5)
3. (x+2, -5y)
4. (x+2, y-5)

Answer 1

Answer: 4. (x+2, y-5)

Step-by-step explanation:

Translation is a right motion used to move a figure on coordinate plane by some distance.

The translation rule to translate a image h units right and k units down is given by :-

$(x,y)\to (x+h, x-k)$

So, the translation rule for translating all of the coordinates of a function f(x,y) to the right 2 units and five units down will be

$(x,y)\to (x+2, y-5)$

Hence, the correct option is 4. (x+2, y-5).