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

that would be g(x) = f(x-a) + b

where a is the number of units shifted in the x-axis and b is the number of units shifted in the y-axis

Answer 2

g(x) = f(x-3) - 3 ?

Answer 3

that's it, you got it!

Answer 4

Thanks :)
If we had
g(x) = f(x+3) - 3
The plus three moves it to the left right?

Answer 5

f(x-3) shifts it in the positive x direction by 3 units

Answer 6

f(x+3) shifts it in the negative x direction by 3 units

Answer 7

so your right

Answer 8

Thank you so much :)

Answer 9

no problem