The graph shown is of a quadratic function, typically represented in the form $y = ax^2 + bx + c$, and it appears to be a parabola opening upwards. The graph crosses the x-axis at specific points, which are key to identifying the following:

1. Zeros, Roots, or Solutions: These terms refer to the values of $x$ where the quadratic function equals zero, meaning the points where the graph intersects the x-axis.

In the graph:

• The x-intercepts are at $x = -2$ and $x = 2$.

Thus, the zeros/roots/solutions of the quadratic function are $x = -2$ and $x = 2$.

2. X-Intercepts: These are simply the points where the function crosses the x-axis. The x-intercepts are the same as the zeros/roots and occur at $(-2, 0)$ and $(2, 0)$.

Summary:

• Zeros/Roots/Solutions: $x = -2$ and $x = 2$
• X-Intercepts: $(-2, 0)$ and $(2, 0)$

Would you like further details or have any questions?

Here are five related questions to deepen understanding:

1. How can you derive the quadratic equation from the graph?
2. What is the vertex form of a quadratic equation, and how would it apply here?
3. How do the values of $a$, $b$, and $c$ in a quadratic equation affect the shape and position of the parabola?
4. What is the relationship between the discriminant and the number of x-intercepts?
5. Can a quadratic function have no real x-intercepts? If so, how would that look graphically?

Tip: The vertex of a parabola is a key point, located halfway between the x-intercepts, and can be found using the formula $x = -\frac{b}{2a}$ for the standard form of a quadratic equation.