Queries on Coordinate geometry

Can someone please explain the below queries for each screenshot

Irrespective of the sign of a and b, (+,-) would go in Q4

the original x-int = 3, new x-int = 5 so its addition of 2, hence why not distance to the left?

Try an example, and it’s not the case that the answer is “Irrespective of the sign of a and b”

3 → 5 is a rightward shift.

“Try an example, and it’s not the case that the answer is “Irrespective of the sign of a and b””
Can you please elaborate with an example please i didnt quite get this

“3 → 5 is a rightward shift.”
(x+1)^2+3
in this above case the shift will be left, am I right? if so the case, then why not the same for the above case?

Hello,

I solved the second question this way:

y = -4x + 12

Since in an x-intercept “y” must equal 0, we have

0 = -4x + 12

4x = 12

x = 3

The original x-intercept would be (3, 0)

Now, if the graph were shifted upwards by 8, we would have

y = -4x + 20

4x = 20

x = 5

(The new x-intercept would be 5,0) ––> which would indeed be moving a distance of 2 to the right.

As for the first question, I haven’t quite figured it out; however, does this question have to do with a 90-degree angle rotation? If so, it could have started out in quadrant III (3), and if rotated clockwise by 90 degrees would yield a flipped “a” and “b”, with only the x value having a negative value.

If you have already solved either of these, do you mind sharing your work?

(x + 1) would indeed indicate that x + 1 = 0, and thus x = -1 (moving 1 to the left).

However, in this second question, when we solve for the x-intercept and make y = 0, x’s value is given (as in x = 5), so the answer would be to move 2 to the right. We only flip the answer when there are brackets involved, and we must set the equation of x + 1 (for example) to 0, to get x = the answer.

Great thanks for the information this helped me.
No I have’nt figured out the answer for the 1st question.

When are you planning to write your GRE? Im looking for a study partner, we can solve each others doubts and practice our verbal and be each others motivators :slight_smile:

Great! Glad that I could be of help!

I haven’t set a definite date for my GRE. Currently, I am focusing on the “fundamentals” since I am noticing some gaps/uncertainties when answering questions.

I would be happy to be your study partner! Are you stronger in verbal or quant?

for quant i wouldn’t say great, but good
But verbal is 0 :neutral_face:

How about you? I haven’t set my date yet. Are you planning for Fall intake 2024?

Perfect. We should complement each other quite well given that I am stronger in verbal than in quant.

You can tag me in your verbal or quant questions. Can I do the same for you? I posted a question about 2 hours ago from the Manhattan 5-lb book. Do you mind checking it out?

I haven’t set a date as of now…