use the graph of y = f(x) to graph the function g(x)=f(x)+4. choose the correct graph of g below.

Explanation:

Step1: Recall vertical - shift rule

For a function $y = f(x)$ and $y = f(x)+k$, when $k>0$, the graph of $y = f(x)$ is shifted vertically upwards by $k$ units. Here $k = 4$, so the graph of $g(x)=f(x)+4$ is the graph of $y = f(x)$ shifted 4 units upwards.

Step2: Analyze key - points

Take some key - points on the graph of $y = f(x)$. For example, if a point on $y = f(x)$ is $(x_0,y_0)$, then the corresponding point on $g(x)=f(x)+4$ is $(x_0,y_0 + 4)$.

Answer:

The graph of $g(x)$ is the graph of $f(x)$ shifted 4 units upwards. Without seeing the actual options clearly, in general, look for a graph that has the same shape as the graph of $y = f(x)$ but with all points moved 4 units higher on the $y$ - axis.