It seems you're working with a function definition that may have a slight typo. Based on the notation, I assume you meant to write \( f(x) = x^2 - 4 \), where \( XEXP2 \) refers to \( x^2 \). If that's correct, we can proceed with analyzing the function.

### Function:
\[
f(x) = x^2 - 4
\]

This is a quadratic function, and here's some information about it:

1. **Form**: This is a standard quadratic function in the form \( ax^2 + bx + c \), where \( a = 1 \), \( b = 0 \), and \( c = -4 \).
2. **Vertex**: The vertex of a parabola \( y = ax^2 + bx + c \) occurs at \( x = \frac{-b}{2a} \). Since \( b = 0 \), the vertex is at \( x = 0 \). Plugging this back into the function gives \( f(0) = 0^2 - 4 = -4 \). So, the vertex is \( (0, -4) \).
3. **Axis of symmetry**: The axis of symmetry is the vertical line passing through the vertex, which is \( x = 0 \).
4. **Roots**: To find the roots (where the function equals 0), solve \( x^2 - 4 = 0 \). This gives:
   \[
   x^2 = 4 \quad \Rightarrow \quad x = \pm 2
   \]
   So, the roots are \( x = 2 \) and \( x = -2 \).
5. **Graph**: This function represents a parabola opening upwards, with a vertex at \( (0, -4) \), and it crosses the x-axis at \( x = 2 \) and \( x = -2 \).

Let me know if you would like further details on this analysis or a graph of the function!

Here are 5 related questions to explore this concept further:
1. What is the domain and range of \( f(x) = x^2 - 4 \)?
2. How would the graph change if we shifted \( f(x) = x^2 - 4 \) vertically by 3 units?
3. Can you find the derivative of \( f(x) = x^2 - 4 \), and what does it tell us about the slope?
4. What would the roots be if we changed the equation to \( f(x) = x^2 - 9 \)?
5. What is the equation of the tangent line to the graph at \( x = 1 \)?

### Tip:
For any quadratic function, the vertex form \( f(x) = a(x-h)^2 + k \) is helpful for quickly identifying the vertex \( (h, k) \).

Explore the detailed solution of the quadratic function f(x) = x^2 - 4. Learn how to find the vertex, roots, and graph of this parabola, suitable for students in Grades 9-11. Understand key concepts such as the vertex formula and the zero product property.

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