The problem asks to use the graph of $y = f(x)$ to graph the function $g(x) = f(x + 2)$.

The transformation $g(x) = f(x + 2)$ is a horizontal shift of the graph of $f(x)$ to the left by 2 units. In other words, every point on the graph of $f(x)$ will be shifted 2 units to the left to create the graph of $g(x)$.

Step-by-step process:

1. Take each point on the original graph of $f(x)$.
2. Move each point 2 units to the left.
3. Sketch the new graph after this transformation.

Now let's analyze the options:

• Option A: This graph shows a horizontal shift to the left by 2 units, which matches the transformation $f(x + 2)$.
• Options B, C, and D do not show the correct horizontal shift to the left by 2 units.

Thus, Option A is the correct graph.

Let me know if you'd like more detailed information or have any questions!

Here are 5 relative questions for further exploration:

1. What happens to the graph when $g(x) = f(x - 2)$?
2. How do vertical shifts affect the graph of a function?
3. Can you explain the effect of a reflection, such as $g(x) = -f(x)$?
4. What is the general rule for shifting functions horizontally?
5. How does a combination of transformations (like shifts and reflections) affect the graph of a function?

Tip: Remember that a transformation of $g(x) = f(x + h)$ shifts the graph left if $h > 0$, and right if $h < 0$.