e 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)?

Somebody told me its g(x)=x-3^-3....but isn't right positive?

Question

e 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)?

Somebody told me its g(x)=x-3^-3....but isn't right positive?

ganeshie8 · Answer

try this https://www.desmos.com/calculator/ejhjep7oxn

campbell_st · Answer

well the vertex has moved... from (0, 0) to (3, -3)

so the vertex form of a parabola is 

$$y = ( x -h)^2 + k$$

where (h, k) is the vertex... 

so substitute the values... to get your equation. 

you may need to distribute and collect like terms