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Which of the following functions does not intersect with y = 3x^2 + 2x + 1

A. y = 3x^2 + 3x + 1
B. y = 2x^2 + 3x + 1
C. y = 3x^2 + 2x + 3
D. y = 4x^2 + 2x - 3
E. y = x^2 + 2x + 3

This question is not from the OG, but I am stuck on this question. Can anyone help me? :?

The graph of y = 3x^2 + 2x + 3 (option C) gives the same parabola as y = 3x^2 + 2x + 1, just shifted 2 units up. So, they won't intersect:
Attachment:
MSP2631fcd0ab556630ba400002aef01a3gd12cb24.gif
MSP2631fcd0ab556630ba400002aef01a3gd12cb24.gif [ 5.36 KiB | Viewed 10356 times ]

Answer: C.

Similar question to practice: the-line-represented-by-which-of-the-following-equation-does-137828.html
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Given function is a parabola with y intercept = 1

A and B out because they have y intercept=1

coefficient a before x^2 should be the same not to intersect

Only C, because only difference from given is that y intercept=3. So, it is just higher

C
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Hello Moderators,

The Tag for this question says this is an OG question. However, the comment from the poster says that it is not an OG question. Can you please confirm if this is actually an OG question, please?

I took too much time to solve this question. If this is an OG question, I need to practice more and find better ways of approaching these type of question :-(

Thanks in advance.
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Hello Moderators,

The Tag for this question says this is an OG question. However, the comment from the poster says that it is not an OG question. Can you please confirm if this is actually an OG question, please?

I took too much time to solve this question. If this is an OG question, I need to practice more and find better ways of approaching these type of question :-(

Thanks in advance.

Removed the OG tag.

Parabolas and other graphs are tested on the GMAT though. OG questions:
https://gmatclub.com/forum/for-what-val ... 11639.html
https://gmatclub.com/forum/the-figure-s ... 60785.html
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let's "plug-in" each answer one by one. Only choice (C) has no intersecting point => answer C
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In order for two functions to intersect, substituting a certain x-value will produce the same y value for the two functions. With choice C, we can see the y value will ALWAYS be two more if we have the same x value. So the two functions can never intersect.
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We should attempt to search for any obvious answers first, and search for functions that are directly parallel to y = 3x^2 + 2x + 1. Choice C is 2 units above that so that is the answer.
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