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.
Which of the following could be the equation of the figure a
[#permalink]
30 Sep 2018, 15:26
30 Sep 2018, 15:26
1
Expert Reply
3
Bookmarks
00:00
Question Stats:
78% (00:37) correct
21% (00:45) wrong based on 55 sessions
Hide Show timer Statistics
Attachment:
Capture.JPG [ 18.47 KiB | Viewed 4259 times ]
Which of the following could be the equation of the figure above?
(A) \(y = x - 3\)
(B) \(y = 2x^2 - x\)
(C) \(y = x^2 - 3\)
(D) \(y = x^2 + 3\)
(E) \(y = x^3 - 3\)
Re: Which of the following could be the equation of the figure a
[#permalink]
21 Oct 2019, 00:22
21 Oct 2019, 00:22
1
(C). The figure is a parabola. Choices (A), (D), and (E) do not represent parabolas. An equation for a parabola should look something like this: y = 5x 2 + 4x + 3, where the 5, 4, and 3 can be other numbers. When the left side is just y, the right side has to have an x 2 term (and no higher power). There can be an x term and/or a constant term. Both (B) and (C) represent parabolas, but the parabola in (B) is not centered on the y-axis (there must be no x term). The equation in (C), y = x 2 - 2, represents a parabola that opens upward, that is centered on the y-axis, and that has a y-intercept of -2. These features are consistent with the diagram.
Re: Which of the following could be the equation of the figure a
[#permalink]
13 Jun 2021, 09:59
13 Jun 2021, 09:59
1
The graph is of a parabola, so its equation must be in the general
form of y = ax2 + bx + c. That eliminates choices (A) and (E). Of the
remaining answer choices, only answer choice (C) gives a negative y value
when x = 0 is plugged in. Also, it should be noted that when a parabola lacks
a bx term, that is b = 0, it will be centered around the y-axis, just as this graph
is.
form of y = ax2 + bx + c. That eliminates choices (A) and (E). Of the
remaining answer choices, only answer choice (C) gives a negative y value
when x = 0 is plugged in. Also, it should be noted that when a parabola lacks
a bx term, that is b = 0, it will be centered around the y-axis, just as this graph
is.
