Subjects algebra

Parabola Intercepts C008Ed

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1. **Stating the problem:** We are given a parabola that opens upwards with x-intercepts approximately at $(-6,0)$ and $(4,0)$. We need to find: (a) The x-intercept(s) as ordered pairs. (b) The zero(s) of the function. 2. **Understanding x-intercepts and zeros:** - The x-intercepts of a function are the points where the graph crosses the x-axis, so the y-value is zero. - The zeros of the function are the x-values where the function equals zero. 3. **Given information:** - The parabola crosses the x-axis at $(-6,0)$ and $(4,0)$. 4. **Answering part (a):** - The x-intercepts are the points $(-6,0)$ and $(4,0)$. 5. **Answering part (b):** - The zeros are the x-values where the function equals zero, which are $-6$ and $4$. **Final answers:** (a) $(-6,0)$ and $(4,0)$ (b) $-6, 4$