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On the graph above, when x = 1/2, y = 2; and when x = 1, y =
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06 Aug 2020, 10:47
06 Aug 2020, 10:47
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On the graph above, when x = 1/2, y = 2; and when x = 1, y = 1. The graph is symmetric with respect to the vertical line at x = 2. According to the graph, when x = 3, y =
(A) -1
(B) -1/2
(C) 0
(D) 1/2
(E) 1
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: On the graph above, when x = 1/2, y = 2; and when x = 1, y =
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06 Aug 2020, 12:15
06 Aug 2020, 12:15
1
Carcass wrote:
On the graph above, when x = 1/2, y = 2; and when x = 1, y = 1. The graph is symmetric with respect to the vertical line at x = 2. According to the graph, when x = 3, y =
(A) -1
(B) -1/2
(C) 0
(D) 1/2
(E) 1
We're told that the graph of the parabola is symmetric with respect to the vertical line at x = 2
So, for example, notice that the point (0,3) lies on the parabola.
This point is 2 units to the LEFT of the line of symmetry.
This means that there's also a point that is 2 units to the RIGHT of the line of symmetry.
So, the coordinates of that point are (4,3)
Likewise, we're told that the point (1,1) lies on the parabola.
This point is 1 unit to the LEFT of the line of symmetry.
This means that there's also a point that is 1 unit to the RIGHT of the line of symmetry.
So, the coordinates of that point are (3,1)
Answer: E
Cheers,
Brent
Re: On the graph above, when x = 1/2, y = 2; and when x = 1, y =
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15 Jan 2022, 06:29
15 Jan 2022, 06:29
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