Question

Consider the graph of the function f(x)=x+2. If g(x)=f(x+3), the graph of g will be shifted _____, compared to the graph of f.A. 3 units leftB. 3 units rightC. 5 units upD 5 units down.

Answer 1

A. 3 units left

Step-by-step explanation:

If we have a function g(x) = f(x + c), we can say that the function g(x) is the function f(x) shifted by c units left.

So, if g(x) = f(x + 3) then the graph of g will be shifted 3 units left compared to the graph of f.

Therefore, the answer is 3 units left.