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GMATinsight
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At how many points do the two graphs named as "First Graph" and "Secon 13 May 2017, 02:22
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E
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Difficulty:

35% (medium)

Question Stats:

63% (01:15) correct 37% (01:06) wrong based on 158 sessions

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At how many points do the two graphs named as "First Graph" and "Second Graph" intersect?

1) The Equation of the first graph is x^2 + y^2 = 4
2) The second graph is a parabola with Y-Intercept -5

Source: https://www.GMATinsight.com
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E
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stonecold
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At how many points do the two graphs named as "First Graph" and "Secon 08 Aug 2017, 05:06
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At how many points do the two graphs named as "First Graph" and "Second Graph" intersect?

1) The Equation of the first graph is x^2 + y^2 = 4
2) The second graph is a parabola with Y-Intercept -5

Source: https://www.GMATinsight.com

___________________
Bumping for discussion.


Hey Bunuel

Are Parabolic equations part of the GMAT?
I haven't seen any official question on the same.

Best
Stone
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At how many points do the two graphs named as "First Graph" and "Secon 08 Aug 2017, 05:22
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Bunuel
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At how many points do the two graphs named as "First Graph" and "Second Graph" intersect?

1) The Equation of the first graph is x^2 + y^2 = 4
2) The second graph is a parabola with Y-Intercept -5

Source: https://www.GMATinsight.com

___________________
Bumping for discussion.


Hey Bunuel

Are Parabolic equations part of the GMAT?
I haven't seen any official question on the same.

Best
Stone

In OG there is a chapter on coordinate geometry, where parabolas are discussed:

"The graph of a quadratic function is called a parabola and always has the shape of the curve above, although it may be upside down or have a greater or lesser width. Note that the roots of the equation \(f(x) = x^2 − 1 = 0\) are \(x = 1\) and \(x = − 1\); these coincide with the x-intercepts since x-intercepts are found by setting \(y = 0\) and solving for x. Also, the y-intercept is \(f( 0) = − 1\) because this is the value of y corresponding to \(x = 0\). For any function f, the x-intercepts are the solutions of the equation \(f( x) = 0\) and the y-intercept is the value \(f (0)\)."


Here is an official question on it: https://gmatclub.com/forum/for-what-val ... 11639.html

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At how many points do the two graphs named as "First Graph" and "Secon 08 Aug 2017, 05:26
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Bunuel
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At how many points do the two graphs named as "First Graph" and "Second Graph" intersect?

1) The Equation of the first graph is x^2 + y^2 = 4
2) The second graph is a parabola with Y-Intercept -5

Source: https://www.GMATinsight.com

___________________
Bumping for discussion.


Hey Bunuel

Are Parabolic equations part of the GMAT?
I haven't seen any official question on the same.

Best
Stone


Please refer to official Guide 17 page number 49... You will find mention of parabola which confirms that GMAT expects test talkers to be equipped with basics of parabola.

Screenshot of OG 17 Page 49 attached

Hope this helps!!!
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At how many points do the two graphs named as "First Graph" and "Secon 16 Aug 2018, 11:35
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At how many points do the two graphs named as "First Graph" and "Second Graph" intersect?

1) The Equation of the first graph is x^2 + y^2 = 4
2) The second graph is a parabola with Y-Intercept -5

Source: https://www.GMATinsight.com

Hey GMATinsight,

Can we have the official solution to this one ?
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At how many points do the two graphs named as "First Graph" and "Secon 16 Aug 2018, 23:56
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stne
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At how many points do the two graphs named as "First Graph" and "Second Graph" intersect?

1) The Equation of the first graph is x^2 + y^2 = 4
2) The second graph is a parabola with Y-Intercept -5

Source: https://www.GMATinsight.com

Hey GMATinsight,

Can we have the official solution to this one ?

After combining the two statements, here are two possibilities

Possibility 1: Circle with radius 2 and Green parabola with Y-intercept as -5 and the two graphs intersecting at 4 points

Possibility 2: Circle with radius 2 and Blue parabola with Y-intercept as -5 and the two graphs intersecting at 0 points

Hence no Unique answer about number of intersections.

NOT SUFFICIENT

Answer: option E
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At how many points do the two graphs named as "First Graph" and "Secon 04 Feb 2021, 10:05
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Is it safe to say, that right away you should come down to either C or E.

If the first statement you do not know any information about the second graph and the same for the second statement. This leaves only C or E, and then you will have to just know that parabolic could be spread out really far or narrow, so hard to determine.

I choose E, but was more of an educated guess.
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At how many points do the two graphs named as "First Graph" and "Secon 22 Feb 2021, 21:54
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Is it safe to say, that right away you should come down to either C or E.

If the first statement you do not know any information about the second graph and the same for the second statement. This leaves only C or E, and then you will have to just know that parabolic could be spread out really far or narrow, so hard to determine.

I choose E, but was more of an educated guess.

Well, to be frank, there was quite a bit of mental gymnastics trying to figure out how to graph

y = √(2-x)(2+x)

What's clear, however, is that y will always be positive (you can't take the square root of a negative number).

The parabola has an intercept of -5, but this could mean an upside down parabola or it could mean a 'regular' parabola. Two cases - one of which intersects, and the other does not.

E is the answer.
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At how many points do the two graphs named as "First Graph" and "Secon 06 Dec 2022, 06:13
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