Algebra 2 problem

Question

The graph of g is a translation right 3 units and down 5 units of the graph of f(x). What is the equation of function g written in standard form?

with steps if possible :)

Answer 1

A translation of 3 to the right changes x to (x-3) which would give us

g(x)= f(x-3) after that you subtract 5 from this so that fives you

g(x)= f(x-3) -5