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The problem provided involves a quadratic equation that follows a difference of squares pattern with roots at \( x = \pm 16 \). 

The general form of a difference of squares quadratic equation is:

\[
(x - a)(x + a) = 0 \quad \text{which simplifies to} \quad x^2 - a^2 = 0
\]

In this case, since \( x = \pm 16 \), the equation would be:

\[
x^2 - 16^2 = 0 \quad \text{or} \quad x^2 - 256 = 0
\]

This quadratic equation represents a parabola. The roots indicate the points where the parabola crosses the x-axis. The correct interpretation of the graph is:

- The parabola crosses the x-axis at \( x = 16 \) and \( x = -16 \).

Therefore, the correct answer is:

**The parabola crosses the \( x \)-axis at \( x = \pm 16 \).**

Would you like more details on quadratic graphs and the difference of squares?

Here are five related questions you might consider:
1. What are the properties of parabolas formed by quadratic equations?
2. How does the difference of squares pattern affect the shape of the graph?
3. How do you find the vertex of a parabola?
4. What other types of factorizations can describe quadratic equations?
5. How do we determine if a quadratic has real, imaginary, or no roots?

**Tip**: When solving quadratics, always check for factorizable patterns like difference of squares, which simplifies solving significantly!

Vihaan finds that the roots of a quadratic equation that contains a difference of squares pattern is x = ±16. What is true about the graph of the parabola described by the quadratic equation?

Explore a quadratic equation with roots ±16 and understand how the difference of squares pattern impacts the graph of the parabola. Learn how this quadratic crosses the x-axis at x = 16 and x = -16. Suitable for Grades 8-10.

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