Question

If the domain of a function that is translated down 3 is (0, 4), (-5, 8), (4, -2), what is the range?

A. (0, 1), (-5, 5), (4, -5)

B. (3, 4), (-2, 8), (7, -2)

C. (-3, 4), (-8, 8), (1, -2)

D. (0, 7), (-5, 11), (4, 1)

Answer 1

Given:

The domain of function that is translated down 3 is (0, 4), (-5, 8), (4, -2).

To find:

The range of the function.

Solution:

If a function is translated 3 units down, then

`(x,y)\to (x,y-3)`

Using this rule, we get

`(0,4)\to (0,4-3)`

`(0,4)\to (0,1)`

Similarly,

`(-5,8)\to (-5,5)`

`(4,-2)\to (4,-5)`

The range of the given function is (0, 1), (-5, 5), (4, -5).

Therefore, the correct option is A.