1. **State the problem:** Determine if the relation $y = 2x(-6x + 4)$ is linear, quadratic, or neither, and identify its degree. 2. **Rewrite the expression:** Distribute $2x$ over $(-6x + 4)$: $$y = 2x \times (-6x) + 2x \times 4$$ 3. **Simplify each term:** $$y = -12x^2 + 8x$$ 4. **Identify the degree:** The degree of a polynomial is the highest power of $x$ present. Here, the highest power is 2 (from $-12x^2$). 5. **Determine the type of relation:** Since the degree is 2, the relation is quadratic. 6. **Summary:** The relation $y = 2x(-6x + 4)$ simplifies to $y = -12x^2 + 8x$, which is a quadratic function of degree 2.