To determine the correct relationship between the graphs of $f(x)$ and $g(x)$, let's analyze their characteristics:

1. Steepness (Slope):

   • The black line representing $f(x)$ is steeper than the blue line representing $g(x)$. This indicates that $f(x)$ has a larger slope than $g(x)$.

2. Translation:

   • The graph of $g(x)$ does not appear to be translated vertically (up or down) or horizontally (left or right) compared to $f(x)$.

From the analysis:

• Since $g(x)$ is less steep than $f(x)$, the correct statement is:

D. The graph of $g$ is less steep.

Would you like further explanation or have any other questions?

Follow-up Questions:

1. How do you calculate the slope of a line?
2. What does it mean for a graph to be translated horizontally?
3. How can you determine if a line is steeper than another?
4. What are some examples of how graph transformations affect a function?
5. How does changing the slope affect the graph of a line?

Tip: To compare slopes, remember that the line with a greater numerical slope value is steeper!