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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # The graph above shows the curve of f(x). A, B, and C are three points

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Math Expert V
Joined: 02 Sep 2009
Posts: 65012
The graph above shows the curve of f(x). A, B, and C are three points  [#permalink]

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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 795 times ]

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Intern  S
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]

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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  V
Joined: 18 Dec 2017
Posts: 1406
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]

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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
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VP  V
Joined: 27 May 2012
Posts: 1070
Re: The graph above shows the curve of f(x). A, B, and C are three points  [#permalink]

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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.
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- Stne
Intern  S
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

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  S
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

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

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