NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 17:50 It is currently 25 Apr 2024, 17:50
Decision Tracker
My Rewards
New posts
New comers' posts

Close
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
Your Progress

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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

What is the y-intercept of the graph of the equation y = 2|4x – 4| – 1

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92915
Own Kudos [?]: 619031 [12]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
What is the y-intercept of the graph of the equation y = 2|4x – 4| – 1 [#permalink] New post   06 Jul 2020, 06:35
1
Kudos
11
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

15% (low)

Question Stats:

79% (01:00) correct 21% (01:32) wrong based on 342 sessions
Hide Show timer Statistics
What is the y-intercept of the graph of the equation y = 2|4x – 4| – 10?

A. -2
B. -1/4
C. 0
D. 2
E. 9/4
ShowHide Answer
Official Answer
A
User avatar
S
gurmukh
Senior Manager
Senior Manager
Joined: 18 Dec 2017
Posts: 270
Own Kudos [?]: 203 [4]
Given Kudos: 20
Send PM
Re: What is the y-intercept of the graph of the equation y = 2|4x – 4| – 1 [#permalink] New post   06 Jul 2020, 08:12
4
Kudos
Y intercept of the line is at x=0
Y= 2|4×0-4|-10
Y=-2
Option A

Posted from my mobile device
User avatar
L
v12345
Senior Manager
Senior Manager
Joined: 01 Mar 2015
Posts: 411
Own Kudos [?]: 913 [2]
Given Kudos: 36
Location: India
Send PM
Re: What is the y-intercept of the graph of the equation y = 2|4x – 4| – 1 [#permalink] New post   06 Jul 2020, 08:17
2
Kudos
Bunuel wrote:
What is the y-intercept of the graph of the equation y = 2|4x – 4| – 10?

A. -2
B. -1/4
C. 0
D. 2
E. 9/4


y = 2|4x – 4| – 10
y = 2|0 – 4| – 10
y = 2|– 4| – 10
y = 2(4) – 10
y = 8 – 10
y = -2
Hence, OA is (A).
avatar
B
fmcgee1
Manager
Manager
Joined: 22 Jun 2020
Posts: 59
Own Kudos [?]: 28 [4]
Given Kudos: 32
GMAT 1: 700 Q47 V40
Send PM
Re: What is the y-intercept of the graph of the equation y = 2|4x – 4| – 1 [#permalink] New post   07 Jul 2020, 12:31
3
Kudos
1
Bookmarks
I also got A like the answers above me, but I'm a bit confused about others' method.

Part of the question includes |4x – 4|, which is the absolute value of 4x-4. This can either be (4x - 4) OR -(4x - 4), which is (-4x + 4).

Plugging in these two different options into the original equation, I get two different answers:

y = 2(-4x + 4) - 10
y = -8x +8 - 10
y = -8x -2

Y-intercept here would be equal to b in the y=mx+b equation, so the answer would be -2.

y = 2(4x - 4) - 10
y = 8x - 8 - 10
y = -18

The y-intercept here would be -18.

Since only -2 is given as an option, the answer is A.

What am I doing wrong?
User avatar
B
pratiksha1998
Manager
Manager
Joined: 11 Aug 2021
Posts: 55
Own Kudos [?]: 13 [0]
Given Kudos: 11
Location: India
Concentration: General Management, Strategy
Schools: Goizueta '25
GMAT 1: 600 Q47 V27
Send PM
Re: What is the y-intercept of the graph of the equation y = 2|4x – 4| – 1 [#permalink] New post   28 Aug 2021, 22:25
v12345 wrote:
Bunuel wrote:
What is the y-intercept of the graph of the equation y = 2|4x – 4| – 10?

A. -2
B. -1/4
C. 0
D. 2
E. 9/4


y = 2|4x – 4| – 10
y = 2|0 – 4| – 10
y = 2|– 4| – 10
y = 2(4) – 10
y = 8 – 10
y = -2
Hence, OA is (A).


Can you explain the reason why x is taken to be 0?
User avatar
B
Neghineh
Intern
Intern
Joined: 20 Nov 2020
Posts: 31
Own Kudos [?]: 1 [0]
Given Kudos: 7
Send PM
What is the y-intercept of the graph of the equation y = 2|4x – 4| – 1 [#permalink] New post   31 Aug 2021, 10:51
fmcgee1 wrote:
I also got A like the answers above me, but I'm a bit confused about others' method.

Part of the question includes |4x – 4|, which is the absolute value of 4x-4. This can either be (4x - 4) OR -(4x - 4), which is (-4x + 4).

Plugging in these two different options into the original equation, I get two different answers:

y = 2(-4x + 4) - 10
y = -8x +8 - 10
y = -8x -2

Y-intercept here would be equal to b in the y=mx+b equation, so the answer would be -2.

y = 2(4x - 4) - 10
y = 8x - 8 - 10
y = -18

The y-intercept here would be -18.

Since only -2 is given as an option, the answer is A.

What am I doing wrong?


Bunuel I have the same question, do you mind to explain?
User avatar
B
PolarisTestPrep
GMAT Instructor
Joined: 30 Jun 2021
Posts: 57
Own Kudos [?]: 20 [0]
Given Kudos: 10
Send PM
Re: What is the y-intercept of the graph of the equation y = 2|4x – 4| – 1 [#permalink] New post   31 Aug 2021, 23:33
Expert Reply
Hey,

The y-intercept is always when x = 0

Set x = 0 in the equation to find the corresponding y:

y = 2|4*(0) - 4| - 10

= 2|0 - 4| - 10

= 2|-4| - 10

= 2(4) - 10

= 8 - 10

= -2

y = -2

The answer is A
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32679
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: What is the y-intercept of the graph of the equation y = 2|4x 4| 1 [#permalink] New post   22 Jan 2024, 15:44
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.
GMAT Club Bot
gmatclubot
Re: What is the y-intercept of the graph of the equation y = 2|4x 4| 1 [#permalink]
22 Jan 2024, 15:44
Moderators:
Bunuel
Math Expert
92915 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions