Question

The graph of f(x) = x is given. Which equation will translate the graph 3 units down?

A. g(x) = 3x
B. g(x) = -3x
C. g(x) = x - 3
D. g(x) = x + 3

Answer 1

g(x)=x-3

Explanation:

Answer 2

C. g(x) = x - 3

Explanation:

The given function is

`f(x)=x`

When we transform a parent function, we can translate it, rotate it, stretch it or expand it. However, in this case, the problem is asking for translations.

If we want to translate the function downside, we just have to subtract units from f(x), like this f(x) - u.

If we want to translate the function horizontally, we have to add or subtract units to the x-variable of the function.

So, in this case, to move the parent function 3 units down, we have to subtract 3 units.

Therefore, the transformation would be

`g(x) = x-3`

So, the right answer is C.