Question

The graph of g(x) = f(x+4) is the graph of f(x) moved 4 units________​

Answer 1

to the left

Explanation:

This looks backwards to some, but it's correct: replacing x with x + 4 in a function moves the graph 4 units to the left.

The reason?

Just suppose that f(6) = 7. To get f(x + 4) to equal 7, you have to use 2 as a value for x, 4 units less than the 6 that was used before.

See attached image for an example.

`y=x^2` is the black graph

`y=(x+4)^2` is the red graph