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

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Math Expert
Joined: 02 Sep 2009
Posts: 39662
On the graph above, when x = 1/2, y = 2; and when x = 1, y = [#permalink]

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30 Jul 2012, 01:53
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81% (01:49) correct 19% (01:01) wrong based on 1461 sessions

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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

Practice Questions
Question: 7
Page: 153
Difficulty: 600

[Reveal] Spoiler:
Attachment:

Graph.png [ 6.01 KiB | Viewed 25588 times ]
[Reveal] Spoiler: OA

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Joined: 04 Mar 2011
Posts: 1069
Re: On the graph above, when x = 1/2, y = 2; and when x = 1, y = [#permalink]

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19 May 2016, 10:24
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Expert's post
Bunuel wrote:
Attachment:
Graph.png
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 are given that the graph is SYMMETRIC along the vertical line x = 2. We are also given that when x = 1, y = 1. We are asked to determine the value of y when x is 3. Keep in mind that when x = 1, it is ONE UNIT away from the line x = 2, and when x = 3, it is also ONE UNIT away from the line x = 2.

Since the y-coordinate is 1, when x is 1, the y-coordinate is ALSO 1 when x is 3. Again, this is because the graph is symmetric with the line x = 2.

Another way to look at this problem is to see that the point (1,1) is actually being reflected over the line x = 2.

We see that the point (1,1) is exactly 1 unit from the line x = 2. In fact the point (2,1) is on the line x = 2 which is exactly 1 unit from (1,1). However, (1,1) is exactly 1 unit on the LEFT of (2,1), so by symmetry, the point that is exactly 1 unit on the RIGHT of (2,1) is (3,1). Thus the y-coordinate is 1.

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

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02 Jan 2013, 07:18
1
KUDOS
Bunuel wrote:
Attachment:
Graph.png

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

Half of the entire graph is a mirror image of the other side. The center coordinate is (2,0) according to the graph. Thus, y when x=1 and y when x-3 are equal.

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Math Expert
Joined: 02 Sep 2009
Posts: 39662
Re: On the graph above, when x = 1/2, y = 2; and when x = 1, y = [#permalink]

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30 Jul 2012, 01:54
Expert's post
6
This post was
BOOKMARKED
SOLUTION

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

Since the graph is symmetric with respect to line $$x = 2$$, then the value of $$y$$ when $$x = 3$$ will be the same as the value of $$y$$ when $$x = 1$$, so 1.

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Intern
Joined: 27 Jul 2012
Posts: 25
Re: On the graph above, when x = 1/2, y = 2; and when x = 1, y = [#permalink]

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30 Jul 2012, 02:18
(E) 1

its symmetric with respect to x=2.
when x=1, 1 unit to the left of x(2), y is 1.
when x=3, 1 unit to the right of x(2), y should again be 1 as it is symmetric.
Math Expert
Joined: 02 Sep 2009
Posts: 39662
Re: On the graph above, when x = 1/2, y = 2; and when x = 1, y = [#permalink]

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03 Aug 2012, 04:37
SOLUTION

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

Since the graph is symmetric with respect to line $$x = 2$$, then the value of $$y$$ when $$x = 3$$ will be the same as the value of $$y$$ when $$x = 1$$, so 1.

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Joined: 09 Sep 2013
Posts: 15957
Re: On the graph above, when x = 1/2, y = 2; and when x = 1, y = [#permalink]

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16 Jul 2014, 02:31
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Re: On the graph above, when x = 1/2, y = 2; and when x = 1, y = [#permalink]

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09 Sep 2014, 11:12
Bunuel wrote:
Attachment:
Graph.png
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

Practice Questions
Question: 7
Page: 153
Difficulty: 600

graph is symmetric with respect to the vertical line

so if x = 1, y = 1 & x=2 , y=0 then x=3 , y=1 ...
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Joined: 09 Sep 2013
Posts: 15957
Re: On the graph above, when x = 1/2, y = 2; and when x = 1, y = [#permalink]

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21 Sep 2015, 22:33
Hello from the GMAT Club BumpBot!

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

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03 Jun 2017, 03:29
Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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] 03 Jun 2017, 03:29
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