For any graph such that y = f(x):
y = f(x) + k moves the graph UP k places.
y = f(x) - k moves the graph DOWN k places.
In the problem above, the graph of y = (x+1)(x-1)² has an x-intercept to the left (at x=-1) and an x-intercept to the right (at x=1).
Adding 2 to the function -- yielding y = (x+1)(x-1)² + 2 -- will move the graph UP 2 places.
When the graph moves up 2 places, the intercept to the right will disappear, leaving only the x-intercept to the left.
The correct answer is B.
Help me in this
This topic has expert replies
Source: Beat The GMAT — Problem Solving |
-
GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Joined: Tue May 25, 2010 12:04 pm
- Location: New York, NY
- Thanked: 13060 times
- Followed by:1906 members
- GMAT Score:790
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
GMAT/MBA Expert
-
ceilidh.erickson
- GMAT Instructor
- Posts: 2095
- Joined: Tue Dec 04, 2012 3:22 pm
- Thanked: 1443 times
- Followed by:247 members
Just to add to Mitch's explanation - don't worry if you don't know how to graph cubic functions! The GMAT doesn't actually require this knowledge. This question makes it seem like you need to know how a cubic function behaves, but what they're really testing is how functions in general move around on a graph when we add a constant.
Whenever you have a function:
y = _____ + 2
this will always looked the same as
y = _____
but the constant +2 indicates that we just shift up by two positions on the graph. They could give you a function with a completely unknowable formula, and it would behave the same way.
Whenever you have a function:
y = _____ + 2
this will always looked the same as
y = _____
but the constant +2 indicates that we just shift up by two positions on the graph. They could give you a function with a completely unknowable formula, and it would behave the same way.
Ceilidh Erickson
EdM in Mind, Brain, and Education
Harvard Graduate School of Education
EdM in Mind, Brain, and Education
Harvard Graduate School of Education
-
abhasjha
- Master | Next Rank: 500 Posts
- Posts: 379
- Joined: Tue Sep 30, 2008 7:17 am
- Location: NY
- Thanked: 28 times
- Followed by:11 members
Hi,
Just wanted to share that the question involves knowledge of shifting , stretching and reflection of graph .although this question has not asked but you would do well to know if graph of f(x) is given and we are asked how the graph of f(x) - c would look like . here the graph will shift down c units down from the graph of f(x) ...
similarly what happens to graph f(x) if it is multiplied by c ; where c is greater than 1 . etc .
watch out this video on youtube where they have explained shifting, stretching and reflection of graph .
https://www.youtube.com/watch?v=5oQgzup9nx4
Just wanted to share that the question involves knowledge of shifting , stretching and reflection of graph .although this question has not asked but you would do well to know if graph of f(x) is given and we are asked how the graph of f(x) - c would look like . here the graph will shift down c units down from the graph of f(x) ...
similarly what happens to graph f(x) if it is multiplied by c ; where c is greater than 1 . etc .
watch out this video on youtube where they have explained shifting, stretching and reflection of graph .
https://www.youtube.com/watch?v=5oQgzup9nx4
-
mcdesty
- Master | Next Rank: 500 Posts
- Posts: 116
- Joined: Wed Mar 14, 2012 1:02 pm
- Thanked: 20 times
- Followed by:11 members
- GMAT Score:760
See Img for shifting the graph of x^2. If you master these basics, the problem above should be a 10 second problem. After looking at the image graph:y=x^2-1, and y=x^2 - 2x + 1.
- Attachments
-
-
GMATinsight
- Legendary Member
- Posts: 1100
- Joined: Sat May 10, 2014 11:34 pm
- Location: New Delhi, India
- Thanked: 205 times
- Followed by:24 members
Please find the Rules of Graph Shifting in File attached.
- Attachments
-
- Doc1.pdf
- All Rules of Graph Shifting
- (253.96 KiB) Downloaded 75 times
"GMATinsight"Bhoopendra Singh & Sushma Jha
Most Comprehensive and Affordable Video Course 2000+ CONCEPT Videos and Video Solutions
Whatsapp/Mobile: +91-9999687183 l [email protected]
Contact for One-on-One FREE ONLINE DEMO Class Call/e-mail
Most Efficient and affordable One-On-One Private tutoring fee - US$40-50 per hour
Most Comprehensive and Affordable Video Course 2000+ CONCEPT Videos and Video Solutions
Whatsapp/Mobile: +91-9999687183 l [email protected]
Contact for One-on-One FREE ONLINE DEMO Class Call/e-mail
Most Efficient and affordable One-On-One Private tutoring fee - US$40-50 per hour
