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
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
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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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. \( y = -3(x - 3)^2 + 6 \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F79765f1f-1ae4-4441-a1ec-ee9ddafb1901%2F7db5a9cf-0bdb-4ed4-873b-2fd4b1045147%2Fzxvs0vd_processed.png&w=3840&q=75)
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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