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

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Bunuel
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The graph above shows the curve of f(x). A, B, and C are three points [#permalink] New post   19 Jul 2019, 01:00
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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)


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RajatVerma1392
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Re: The graph above shows the curve of f(x). A, B, and C are three points [#permalink] New post   19 Jul 2019, 01:09
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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.

IMO the answer is D.

Please hit kudos if you like the solution.
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Re: The graph above shows the curve of f(x). A, B, and C are three points [#permalink] New post   19 Jul 2019, 09:04
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.

IMO the answer is D.

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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Re: The graph above shows the curve of f(x). A, B, and C are three points [#permalink] New post   27 Jul 2019, 13:58
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.

IMO the answer is D.

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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RajatVerma1392
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Re: The graph above shows the curve of f(x). A, B, and C are three points [#permalink] New post   08 Aug 2019, 00:57
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.

IMO the answer is D.

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.
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RajatVerma1392
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Re: The graph above shows the curve of f(x). A, B, and C are three points [#permalink] New post   08 Aug 2019, 01:03
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.

IMO the answer is D.

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.
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Re: The graph above shows the curve of f(x). A, B, and C are three points [#permalink]
08 Aug 2019, 01:03
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Bunuel
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