## Comment on Graphs of Quadratics

### Brent,

Brent,

Could you explain me the exercise 316 (OG 2017) in a different way from the OG solution?

Thanks,
Pedro ### Brent,

Brent,

Exercise 335 from OG 2017. I didn't understand why statement 1 is sufficient. If the y-coordinate of point R is -3, ok, they are equidistant, but if the y-coordinate of point R is -1, so (-1,-1) is not equidistant from (-3,-3), right?

Could you explain me where I'm wronging?

Thanks,
Pedro ### Hi Pedro,

Hi Pedro,

As long as x = -1, point R will ALWAYS be equidistant from (-3, -3) and (1, -3)

For example, (-1, 0) is equidistant from (-3, -3) and (1, -3)
And (-1, 22) is equidistant from (-3, -3) and (1, -3)
And (-1, -1) is equidistant from (-3, -3) and (1, -3)
And (-1, -7) is equidistant from (-3, -3) and (1, -3)
etc.

I explain why this is the case in my solution here: https://gmatclub.com/forum/in-the-xy-coordinate-plane-is-point-r-equidis...

### Hi Brent,

Hi Brent,

I was clueless about the concept in play for this Q : https://gmatclub.com/forum/the-figure-shows-the-graph-of-y-x-1-x-1-2-in-the-xy-160785.html

Furthermore I couldn't understand cases 3 to 6 posted by a student(keats) at this link : https://gmatclub.com/forum/the-figure-shows-the-graph-of-y-x-1-x-1-2-in-the-xy-160785.html?sid=0fcda6e802211f7e797bed41ed3e8bec#p1739406

Need your help in clarifying this concept.

Thanks & Regards,
Abhirup ### Hi Abhirup,

Hi Abhirup,

Here's my solution to the question: https://gmatclub.com/forum/the-figure-shows-the-graph-of-y-x-1-x-1-2-in-...

The user (at https://gmatclub.com/forum/the-figure-shows-the-graph-of-y-x-1-x-1-2-in-...) is reciting some translation properties that many students learn in high school.

Don't worry about them. The GMAT does not expect you to know them.
Instead, just familiarize yourself with my solution, and you'll have a strategy for similar questions.

That said, this question type is VERY rare. In fact, I'd venture to say that 1 student out of 500 would see a question like this on test day.

Cheers,
Brent

### Thanks a lot for that

Thanks a lot for that brilliant explanation!! So to sum up, whenever I come across any such problem I need to find the points and graph the equation. Doing this will give me a clearer picture.

Regards,
Abhirup ### Yes, that approach will help

Yes, that approach will help you determine the position/shape of one curve compared to the other curve.

### https://gmatclub.com/forum

https://gmatclub.com/forum/m24-184377.html ### https://gmatclub.com/forum/a

https://gmatclub.com/forum/a-parabola-in-the-coordinate-geometry-plane-is-represented-by-the-equa-273986.html 