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On the graph above, when x = 1/2, y = 2; and when x = 1, y =

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Carcass
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On the graph above, when x = 1/2, y = 2; and when x = 1, y = [#permalink] New post   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
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Re: On the graph above, when x = 1/2, y = 2; and when x = 1, y = [#permalink] New post   06 Aug 2020, 12:15
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Carcass wrote:
Image

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.
Image

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)
Image

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.
Image

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)
Image

Answer: E

Cheers,
Brent
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Re: On the graph above, when x = 1/2, y = 2; and when x = 1, y = [#permalink] New post   15 Jan 2022, 06:29
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: On the graph above, when x = 1/2, y = 2; and when x = 1, y = [#permalink]
15 Jan 2022, 06:29
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