Question

Given f (x )equals g (x minus 5 )plus 3, determine and explain the transformation(s) on f (x ).

Answer 1

The transformations of f(x) are 5 units to the right, and 3 units up

Explanation:

If g(x) = x

then f(x) = (x-5) + 3

When we have (x-y) inside parentheses, the graph moves left

If it's (x + y) then the graph moves right

With (x) + y the graph moves up

And (x) - y the graph moves down

Here we have (x-5), meaning that the graph moved 5 units to the right

and we have + 3, which means that the graph moved 3 units up

So, the transformations of f(x) are 5 units to the right, and 3 units up