GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Nov 17Live Online Classes with Top GRE Expert Rich Zwelling
08:00 PM EST
-10:00 PM EST
Get live instruction from a top-scoring, industry-recognized GRE teachers + 6 months of access to TTP Self-Study included! Tues/Thur Sept 7, 2026---Feb. 2, 2027, 1:00pm-3:00pm EST
Dec 14Live Online Classes with Top GRE Expert Michael Butville
08:00 PM EST
-10:00 PM EST
Get live instruction from a top-scoring, industry-recognized GRE teachers + 6 months of access to TTP Self-Study included! Mon/Wed Dec. 14, 2026---Feb. 22, 2027, 8:00pm-10:00pm EST
The graph of a quadratic function f (x) = x^2 +ax +b intersects X-axis
[#permalink]
04 Dec 2023, 00:49
04 Dec 2023, 00:49
1
Expert Reply
1
Bookmarks
00:00
Question Stats:
75% (01:03) correct
25% (01:48) wrong based on 12 sessions
Hide Show timer Statistics
The graph of a quadratic function \(f (x) = x^2 +ax +b\) intersects X-axis at two points: x = 2 and x = 8.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
a+b |
5 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Part of the project: The Butler-GRE Daily New Quant and Verbal Questions to Practice (2023) - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
Manager
Joined: 11 Nov 2023
Posts: 228
Given Kudos: 78
WE:Business Development (Advertising and PR)
Re: The graph of a quadratic function f (x) = x^2 +ax +b intersects X-axis
[#permalink]
04 Dec 2023, 21:26
04 Dec 2023, 21:26
1
A quadratic function intersects the x-axis when f(x) = 0, aka the roots. We can interpret that as f(x) = 0 when x = 2 or 8, so:
\(f(x) = 0 = (x-2)(x-8)\)
\(= x^2 - 10x +16\)
Now we see that a = -10 and b = 16.
\(a+b = -10+16 = 6\)
Since 6>5, Quantity A is greater.
\(f(x) = 0 = (x-2)(x-8)\)
\(= x^2 - 10x +16\)
Now we see that a = -10 and b = 16.
\(a+b = -10+16 = 6\)
Since 6>5, Quantity A is greater.
Re: The graph of a quadratic function f (x) = x^2 +ax +b intersects X-axis
[#permalink]
28 Dec 2025, 01:31
28 Dec 2025, 01:31
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
