27. The graph of a quadratic equation has x-intercepts at (2, 0) and (6, 0). Which of the following could be the equation described? O O O O CLEAR ALL y=6x² + 2 y = (x+6)(x+2) y=2x² - 6 y=(x-6)(x-2)

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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The problem is as follows:

"27. The graph of a quadratic equation has x-intercepts at (2, 0) and (6, 0). Which of the following could be the equation described?"

The answer choices given are:

- \( y = 6x^2 + 2 \)
- \( y = (x + 6)(x + 2) \)
- \( y = 2x^2 - 6 \)
- \( y = (x - 6)(x - 2) \)

There is no graph or diagram associated with the question. The task is to identify the equation that corresponds to a quadratic graph with specified x-intercepts.
Transcribed Image Text:The problem is as follows: "27. The graph of a quadratic equation has x-intercepts at (2, 0) and (6, 0). Which of the following could be the equation described?" The answer choices given are: - \( y = 6x^2 + 2 \) - \( y = (x + 6)(x + 2) \) - \( y = 2x^2 - 6 \) - \( y = (x - 6)(x - 2) \) There is no graph or diagram associated with the question. The task is to identify the equation that corresponds to a quadratic graph with specified x-intercepts.
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