Question

MEDAL!!!
42. The function f(x)=x^2. 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)?
I need it step by step:)

Answer 1

ok... so the vertex of the parabola is going to be at (3, -3) , 3 to the right x= 3
and down 3 so y = -3

the vertex form of the parabola is

\[y = a(x -h)^2 + k\]

the vertex is at (h, k) in your question a = 1

so plug in your vertex

and you can see if you are correct by graphing using

https://www.desmos.com/calculator

hope it helps