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)?

Answer 1

It would be much appreciated if someone could help me with this problem step by step :) I am very confused with it :(

Answer 2

Subtracting a number, h, into the argument translates the graph h units to the right

Subtracting a number, k, outside the argument moves the graph down k units

So it would be g(x)=(x-3)^2-3

Answer 3

Thank you for the response :) however I am a little confused with the explanation.

Answer 4

About the argument?

Answer 5

Yes, I am confused on how you actually came to the final answer.

Answer 6

Inside the argument means wherever the operation on x is being performed,

for example if you wanted to move y=|x| to the right 3 units you would subtract 3 inside the absolute value y=|x-3| and to move it down 3 units you would subtract 3 outside the absolute value...y=|x|-3

not sure if im making sense. this page might help a bit

http://www.purplemath.com/modules/fcntrans.htm

Answer 7

Okay thank you, it makes more sense now.