GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 25 May 2020, 02:56

### 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

# The graph above shows the curve of f(x). A, B, and C are three points

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 64083
The graph above shows the curve of f(x). A, B, and C are three points  [#permalink]

### Show Tags

19 Jul 2019, 00:00
00:00

Difficulty:

15% (low)

Question Stats:

79% (01:13) correct 21% (01:56) wrong based on 62 sessions

### HideShow timer Statistics

The graph above shows the curve of f(x). A, B, and C are three points on the graph. If the function f(x) is defined as ax^2, then what are the coordinates of point C?

(1) A = (1.5, 9)
(2) B = (2, 16)

Attachment:

2019-07-19_1157.png [ 65.84 KiB | Viewed 770 times ]

_________________
Intern
Joined: 08 Jan 2018
Posts: 38
Location: India
GPA: 4
WE: Information Technology (Computer Software)
Re: The graph above shows the curve of f(x). A, B, and C are three points  [#permalink]

### Show Tags

19 Jul 2019, 00:09
2
1
f(x) = a*x^2

As per question:
1. A = (1.5,9)
=> f(1.5) = a * $$(1.5)^2$$
=> 9 = a * 2.25
=> a = 4
Thus C => 4*$$(2.5)^2$$
Sufficient.

2. B = (2,16)
=> f(2) = a * $$2^2$$
=> 16 = 4*a
=> a =4
Thus C => 4*$$(2.5)^2$$
Sufficient.

Please hit kudos if you like the solution.
VP
Joined: 18 Dec 2017
Posts: 1360
Location: United States (KS)
GMAT 1: 600 Q46 V27
Re: The graph above shows the curve of f(x). A, B, and C are three points  [#permalink]

### Show Tags

19 Jul 2019, 08:04
RajatVerma1392 wrote:
f(x) = a*x^2

As per question:
1. A = (1.5,9)
=> f(1.5) = a * $$(1.5)^2$$
=> 9 = a * 2.25
=> a = 4
Thus C => 4*$$(2.5)^2$$
Sufficient.

2. B = (2,16)
=> f(2) = a * $$2^2$$
=> 16 = 4*a
=> a =4
Thus C => 4*$$(2.5)^2$$

Sufficient.

Please hit kudos if you like the solution.

My Question is did you solve it or you knew you will be able to find individually and marked D? Since this is a DS question and not PS
_________________
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long

Why You Don’t Deserve A 700 On Your GMAT

Learn from the Legend himself: All GMAT Ninja LIVE YouTube videos by topic
You are missing on great learning if you don't know what this is: Project SC Butler
VP
Joined: 27 May 2012
Posts: 1029
Re: The graph above shows the curve of f(x). A, B, and C are three points  [#permalink]

### Show Tags

27 Jul 2019, 12:58
RajatVerma1392 wrote:
f(x) = a*x^2

As per question:
1. A = (1.5,9)
=> f(1.5) = a * $$(1.5)^2$$
=> 9 = a * 2.25
=> a = 4
Thus C => 4*$$(2.5)^2$$
Sufficient.

2. B = (2,16)
=> f(2) = a * $$2^2$$
=> 16 = 4*a
=> a =4
Thus C => 4*$$(2.5)^2$$
Sufficient.

Please hit kudos if you like the solution.

I think in the question it should have been mentioned that "a" is a constant.
_________________
- Stne
Intern
Joined: 08 Jan 2018
Posts: 38
Location: India
GPA: 4
WE: Information Technology (Computer Software)
Re: The graph above shows the curve of f(x). A, B, and C are three points  [#permalink]

### Show Tags

07 Aug 2019, 23:57
TheNightKing wrote:
RajatVerma1392 wrote:
f(x) = a*x^2

As per question:
1. A = (1.5,9)
=> f(1.5) = a * $$(1.5)^2$$
=> 9 = a * 2.25
=> a = 4
Thus C => 4*$$(2.5)^2$$
Sufficient.

2. B = (2,16)
=> f(2) = a * $$2^2$$
=> 16 = 4*a
=> a =4
Thus C => 4*$$(2.5)^2$$

Sufficient.

Please hit kudos if you like the solution.

My Question is did you solve it or you knew you will be able to find individually and marked D? Since this is a DS question and not PS

I have solved it, because we need to find one value which is unique and gives the values for C. This is one way to solve questions like these, IMO it does not matter whether it is a DS or PS queston.
Intern
Joined: 08 Jan 2018
Posts: 38
Location: India
GPA: 4
WE: Information Technology (Computer Software)
Re: The graph above shows the curve of f(x). A, B, and C are three points  [#permalink]

### Show Tags

08 Aug 2019, 00:03
stne wrote:
RajatVerma1392 wrote:
f(x) = a*x^2

As per question:
1. A = (1.5,9)
=> f(1.5) = a * $$(1.5)^2$$
=> 9 = a * 2.25
=> a = 4
Thus C => 4*$$(2.5)^2$$
Sufficient.

2. B = (2,16)
=> f(2) = a * $$2^2$$
=> 16 = 4*a
=> a =4
Thus C => 4*$$(2.5)^2$$
Sufficient.

Please hit kudos if you like the solution.

I think in the question it should have been mentioned that "a" is a constant.

Yes,It should be stated, but we can also see that for that type of graph there should be one constant that will move the graph in a direction, otherwise if f(x)= $$x^2$$, then that graph should be a parabola, but again we should know whether it is a downward or upward parabola, for that we need some constant.
Re: The graph above shows the curve of f(x). A, B, and C are three points   [#permalink] 08 Aug 2019, 00:03