The vertex of this parabola is at (-3, 6). Which of the following could be its equation? 10 (-3, 6) -10 10 -10 А. у- -3(х+ 3)2 +6 В. у3-3(х-3)2-6 С. у3 -3(x+ 3)2-6 D. y = -3(x-3)2 + 6

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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**Question 17 of 40**

The vertex of this parabola is at \((-3, 6)\). Which of the following could be its equation?

![Graph of a parabola](Your image link here)

- The graph shows a parabola opening downwards. The vertex is marked at the point \((-3, 6)\) on the graph. 

- The x-axis and y-axis are labeled, with the x-axis ranging approximately from \(-10\) to \(10\), and the y-axis ranging approximately from \(-10\) to \(10\).

- A red curve represents the parabola, and the vertex \((-3, 6)\) is highlighted with a blue point.

**Options:**

A. \( y = -3(x + 3)^2 + 6 \)  
B. \( y = -3(x - 3)^2 - 6 \)  
C. \( y = -3(x + 3)^2 - 6 \)  
D. \( y = -3(x - 3)^2 + 6 \)
Transcribed Image Text:**Question 17 of 40** The vertex of this parabola is at \((-3, 6)\). Which of the following could be its equation? ![Graph of a parabola](Your image link here) - The graph shows a parabola opening downwards. The vertex is marked at the point \((-3, 6)\) on the graph. - The x-axis and y-axis are labeled, with the x-axis ranging approximately from \(-10\) to \(10\), and the y-axis ranging approximately from \(-10\) to \(10\). - A red curve represents the parabola, and the vertex \((-3, 6)\) is highlighted with a blue point. **Options:** A. \( y = -3(x + 3)^2 + 6 \) B. \( y = -3(x - 3)^2 - 6 \) C. \( y = -3(x + 3)^2 - 6 \) D. \( y = -3(x - 3)^2 + 6 \)
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