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Which of the following could be the equation of the graph in

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Which of the following could be the equation of the graph in [#permalink] New post   11 Dec 2017, 10:25
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xy.jpg [ 18.33 KiB | Viewed 10765 times ]


Which of the following could be the equation of the graph in the xy-plane shown above?

A. \(y = x^2 + x - 60\)

B. \(y = x^2 + x - 20\)

C. \(y = x^2 + 3x - 60\)

D. \(y = 3x^2 + x - 60\)

E. \(y = 3x^2 + 3x - 60\)
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Re: Which of the following could be the equation of the graph in [#permalink] New post   11 Dec 2017, 17:55
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A. y = x^2 + x - 60

B. y = x^2 + x - 20

C. y = x^2 + 3x - 60

D. y = 3x^2 + x - 60

E. y = 3x^2 + 3x - 60

The parabola is in form of a a^2 + bx +c
The x-intercepts are the solutions to the equation
x1=−b−Squroot(b^2−4ac)/2a

The y-intercept is c, as y intercept means the value of y when x=0. So c = -60?
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Re: Which of the following could be the equation of the graph in [#permalink] New post   12 Dec 2017, 11:46
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Added the OA.
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Re: Which of the following could be the equation of the graph in [#permalink] New post   12 Dec 2017, 12:42
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Carcass wrote:
Attachment:
The attachment xy.jpg is no longer available


Which of the following could be the equation of the graph in the xy-plane shown above?

A. \(y = x^2 + x - 60\)

B. \(y = x^2 + x - 20\)

C. \(y = x^2 + 3x - 60\)

D. \(y = 3x^2 + x - 60\)

E. \(y = 3x^2 + 3x - 60\)


Here we have to use the vertex formula which is-

\(y = a(x-h)^2 + k\)

here h= vertex

From the graph k = -60 and h almost equal to -1

SO we need a equation as

y= (x-(-1)) -60

or y = (x + 1) -60

Only equation E have the same presentation

because \(y = 3x^2 +3x -60\)

or it can be written y = 3x(x + 1) - 60
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Re: Which of the following could be the equation of the graph in [#permalink] New post   14 Dec 2017, 13:50
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Great explanation and reply.

Thank you so much @pranab01

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Re: Which of the following could be the equation of the graph in [#permalink] New post   02 Nov 2018, 11:10
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Put the points (4,0) and (-4,0) to come to the solution in less time :)
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Re: Which of the following could be the equation of the graph in [#permalink] New post   16 Nov 2018, 20:52
pranab01 wrote:
Carcass wrote:
Attachment:
xy.jpg


because \(y = 3x^2 +3x -60\)

or it can be written y = 3x(x + 1) - 60



What's wrong with option (a)

can be written y= x(x+1)-60
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Re: Which of the following could be the equation of the graph in [#permalink] New post   28 Mar 2019, 05:44
AE wrote:
pranab01 wrote:
Carcass wrote:
Attachment:
xy.jpg


because \(y = 3x^2 +3x -60\)

or it can be written y = 3x(x + 1) - 60



What's wrong with option (a)

can be written y= x(x+1)-60


I also would like to know.
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Re: Which of the following could be the equation of the graph in [#permalink] New post   28 Mar 2019, 06:07
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Yes. definitely can be written in that fashion.

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Re: Which of the following could be the equation of the graph in [#permalink] New post   17 Aug 2021, 19:16
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