On the graph above, when x = 1/2, y = 2; and when x = 1, y = : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 28 Feb 2017, 03:12

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 37151
Followers: 7275

Kudos [?]: 96845 [0], given: 10804

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

### Show Tags

30 Jul 2012, 00:53
Expert's post
16
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

80% (01:49) correct 20% (01:00) wrong based on 1269 sessions

### HideShow timer Statistics

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 23329 times ]
[Reveal] Spoiler: OA

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 37151
Followers: 7275

Kudos [?]: 96845 [0], given: 10804

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

### Show Tags

30 Jul 2012, 00:54
Expert's post
5
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.

_________________
Intern
Joined: 27 Jul 2012
Posts: 25
Followers: 0

Kudos [?]: 22 [0], given: 14

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

### Show Tags

30 Jul 2012, 01:18
(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: 37151
Followers: 7275

Kudos [?]: 96845 [0], given: 10804

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

### Show Tags

03 Aug 2012, 03:37
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.

_________________
Senior Manager
Joined: 13 Aug 2012
Posts: 464
Concentration: Marketing, Finance
GMAT 1: Q V0
GPA: 3.23
Followers: 26

Kudos [?]: 445 [1] , given: 11

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

### Show Tags

02 Jan 2013, 06:18
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.

_________________

Impossible is nothing to God.

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13996
Followers: 592

Kudos [?]: 168 [0], given: 0

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

### Show Tags

16 Jul 2014, 01:31
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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Manager
Joined: 07 Apr 2014
Posts: 147
Followers: 1

Kudos [?]: 23 [0], given: 81

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

### Show Tags

09 Sep 2014, 10:12
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 ...
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13996
Followers: 592

Kudos [?]: 168 [0], given: 0

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

### Show Tags

21 Sep 2015, 21:33
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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Director
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 595
Followers: 24

Kudos [?]: 259 [2] , given: 2

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

### Show Tags

19 May 2016, 09:24
2
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

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.

_________________

Jeffrey Miller
Jeffrey Miller

Re: On the graph above, when x = 1/2, y = 2; and when x = 1, y =   [#permalink] 19 May 2016, 09:24
Similar topics Replies Last post
Similar
Topics:
10 When x is divided by 2, remainder is 1 and y is divided by 8, remainde 7 18 Jan 2016, 21:32
7 If y = (x – 5)^2 + (x + 1)^2 – 6, then y is least when x = 7 29 Jul 2015, 14:49
91 The figure shows the graph of y = (x + 1)(x - 1)^2 in the xy 27 30 Sep 2013, 06:16
5 In the equation above, k is a constant. If y = 17 when x = 2 12 01 Oct 2012, 04:07
7 On the graph above, when x = 1/2, y = 2; and when x = 1, y = 1. The gr 11 25 Feb 2011, 05:48
Display posts from previous: Sort by