Question

NeeD HELP ASAP ! Please. the function f(x)=x^2. The graph of g(x) is f(x) translated to the right 3units and down 3 units what is the function rule for g(x) ? Please show me step by step

Answer 1

g(x) = (x-3) ^2 -3

Explanation:

f(x) = x^2

To shift down 3 units, subtract 3 ( When we move up, we add)

h(x) = x^2 -3

To shift to the right 3 units, replace x with (x-3). I know it seems backwards, but right is minus and left is plus.

g(x) = (x-3) ^2 -3