The question asks which statement best describes how the graphs of $f(x)$ (black line) and $g(x)$ (blue line) are related.

From the graph:

• The black line, $f(x)$, is steeper, implying that it has a higher slope.
• The blue line, $g(x)$, has a smaller slope, meaning it is less steep.

Thus, the correct answer is D: The graph of $g$ is less steep.

The other options are incorrect because:

• A: The graph of $g$ is not steeper, it is less steep.
• B: There is no vertical translation (shift up or down) of the graph.
• C: There is no horizontal translation (shift left or right) of the graph.

Would you like a more detailed explanation of why the slope determines steepness?

Here are 5 related questions to expand this concept:

1. How do you calculate the slope of a line from its graph?
2. What does it mean when a line is translated vertically or horizontally?
3. How do different slopes affect the behavior of linear functions?
4. What is the relationship between the slope and the angle of the line?
5. Can two lines have the same slope but different y-intercepts?

Tip: The steeper the line, the greater the absolute value of its slope.