Here is the graph of the functions $f(x) = x^2 + 1$ (blue) and $g(x) = 3x + 2$ (red). The blue curve represents the quadratic function, while the red line represents the linear function.

Would you like more details about the graph, or do you have any questions?

Here are 5 related questions to expand your understanding:

1. How do the intersection points of $f(x)$ and $g(x)$ affect the graph?
2. How does changing the coefficient of $x^2$ in $f(x)$ affect the graph?
3. What happens to the graph of $g(x)$ if we change the slope (coefficient of $x$)?
4. How would shifting $f(x)$ vertically or horizontally change its graph?
5. How can you find the exact points where $f(x)$ and $g(x)$ intersect?

Tip: In any quadratic function $f(x) = ax^2 + bx + c$, the value of $a$ determines the direction and width of the parabola.