The function f(x) = x². The graph of g(x) is f(x) translated to the right 3 units and down 3 units. What is the function rule for g(x)?

Question

The function  f(x) = x². The graph of g(x) is f(x) translated to the right 3 units and down 3 units. What is the function rule for g(x)?

abb0t · Answer

So you have f(x) which is your x is being shifted DOWN five units. So you know ur subtracting "x".

abb0t · Answer

Next, you have g(x) which is basically f(x). All of it, being translated to the right. Assuming you're on xy-coordinate system, moving to the right means you're moving forward, therefore adding. so "+"

anonymous · Answer

When you translate a function up or down, just add or subtract that much at the end.

To translate left or right though, wherever you have x substitute in (x-a) where a is a positive number when moving to the right, and (x+a) where a is a positive number when moving to the left.

As an example, if I wanted to shift x^3 up 2 units and to the left by 4, I would write$$g(x)=(x+4)^{3}+2$$

abb0t · Answer

sorry, right means negative. ah.

abb0t · Answer

or nvm. lol. +

anonymous · Answer

lol you are confusing me

anonymous · Answer

thanks you guys i'll try to figure it out!

anonymous · Answer

Did you get the problem answered?