O 10. Choose the correct answer. Determine the value of a for a quadratic function that is written in vertex form, has the zeros (-8,0) and (-2, 0), and has (0, 12) as one of its points. 314 PREVIOUS 1-28 of 28 NEXT REVIEW SAVE & EXIT

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Question 10: Choose the correct answer.**

*Determine the value of \( a \) for a quadratic function that is written in vertex form, has the zeros \((-8, 0)\) and \((-2, 0)\), and has \((0, 12)\) as one of its points.*

Options:
- \( \frac{4}{3} \)
- \( \frac{3}{4} \)
- \( \frac{3}{4} \)
- 1

**Graph Explanation:**

The associated graph depicts a quadratic function that crosses the x-axis at the points \((-8,0)\) and \((-2,0)\), indicating these are its zeros. The point \((0, 12)\) signifies that the function passes through this coordinate on the graph. The curve is parabolic, typical of quadratic functions, reflecting its vertex form properties.

The task is to calculate the coefficient \( a \) in the vertex form equation using this information.
Transcribed Image Text:**Question 10: Choose the correct answer.** *Determine the value of \( a \) for a quadratic function that is written in vertex form, has the zeros \((-8, 0)\) and \((-2, 0)\), and has \((0, 12)\) as one of its points.* Options: - \( \frac{4}{3} \) - \( \frac{3}{4} \) - \( \frac{3}{4} \) - 1 **Graph Explanation:** The associated graph depicts a quadratic function that crosses the x-axis at the points \((-8,0)\) and \((-2,0)\), indicating these are its zeros. The point \((0, 12)\) signifies that the function passes through this coordinate on the graph. The curve is parabolic, typical of quadratic functions, reflecting its vertex form properties. The task is to calculate the coefficient \( a \) in the vertex form equation using this information.
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To determine the value of a for a parabola in vertex form.

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