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22 Oct 2021, 08:15
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
73% (01:42) correct
27%
(02:00)
wrong
based on 152
sessions
History
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Not Attempted Yet
The coordinates of three points are labeled on the parabola in the xy-plane above. Which of the following could be the equation of the parabola?
(A) \(y = (x – 4)(x + 2)\)
(B) \(y = (x – 2)(x + 4)\)
(C) \(y = (x–2)^2 – 4\)
(D) \(y = (x – 4)(x + 2) – 8\)
(E) \(y = (2 – x)(x + 4)\)
Attachment:
1.png [ 22.02 KiB | Viewed 4077 times ]
22 Oct 2021, 21:16
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Bunuel
The coordinates of three points are labeled on the parabola in the xy-plane above. Which of the following could be the equation of the parabola?
(A) \(y = (x – 4)(x + 2)\)
(B) \(y = (x – 2)(x + 4)\)
(C) \(y = (x–2)^2 – 4\)
(D) \(y = (x – 4)(x + 2) – 8\)
(E) \(y = (2 – x)(x + 4)\)
Attachment:
1.png
Simply Substitute the points in Options and check
e.g. For (0, -8) to be on Graph at x=0l, y should be -8
Options A and B satisfy but Options C, D and E can be eliminated
Now, for (2, 0) to be on graph, at x=2, y should be come 0
Option A doesn't satisfy and only Option B satisfies hence
Answer: Option B
22 Oct 2021, 22:53
Kudos
Bookmarks
Bunuel
The coordinates of three points are labeled on the parabola in the xy-plane above. Which of the following could be the equation of the parabola?
(A) \(y = (x – 4)(x + 2)\)
(B) \(y = (x – 2)(x + 4)\)
(C) \(y = (x–2)^2 – 4\)
(D) \(y = (x – 4)(x + 2) – 8\)
(E) \(y = (2 – x)(x + 4)\)
Attachment:
1.png
(2,0) is only satisfied by B and D
(-8,0) is only satisfied by B
Therefore IMO B
