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Which of the following could be the equation of the figure a
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30 Sep 2018, 15:26
30 Sep 2018, 15:26
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78% (00:37) correct
21% (00:45) wrong based on 55 sessions
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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
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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
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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.
