1. The problem states: The parabola $y = 3(x - 4)(x + 2)$ has $x$-intercepts at $(-4, 0)$ and $(2, 0)$. We need to verify if this is true or false.
2. Recall that $x$-intercepts occur where $y=0$. To find the $x$-intercepts, set the equation equal to zero:
$$0 = 3(x - 4)(x + 2)$$
3. Since $3 \neq 0$, the product is zero only if one of the factors is zero:
$$x - 4 = 0 \quad \text{or} \quad x + 2 = 0$$
4. Solving these gives:
$$x = 4 \quad \text{or} \quad x = -2$$
5. Therefore, the $x$-intercepts are at points $(4, 0)$ and $(-2, 0)$.
6. The problem claims the intercepts are at $(-4, 0)$ and $(2, 0)$, which is incorrect.
7. Hence, the statement is **False**.
Parabola X Intercepts 362Dfc
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