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A parabola has an equation, [m]y = 2x^2 - 5x + c [/m] and passes
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04 Mar 2021, 11:24
04 Mar 2021, 11:24
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A parabola has an equation, \(y = 2x^2 - 5x + c \) and passes through \((2,5)\)
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
y-coordinate of the vertex |
\(c\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Re: A parabola has an equation, [m]y = 2x^2 - 5x + c [/m] and passes
[#permalink]
05 Mar 2021, 08:07
05 Mar 2021, 08:07
KarunMendiratta wrote:
A parabola has an equation, \(y = 2x^2 - 5x + c \) and passes through \((2,5)\)
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
y-coordinate of the vertex |
\(c\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
OA Explanation:
Plug in \(x = 2\) and \(y = 5\) in the equation;
\(5 = 2(2)^2 - 5(2) + c\)
\(c = 7\)
In Parabola with equation: y = ax^2 + bx + c
x-coordinate of the Vertex = \(\frac{-b}{2a} = \frac{-(-5)}{2(2)} = \frac{5}{4}\)
y-coordinate of the vertex = \(2(\frac{5}{4})^2 -5(\frac{5}{4}) + 7 = 3.875\)
Col. A: \(3.875\)
Col. B: \(7\)
Hence, option B
gmatclubot
Re: A parabola has an equation, [m]y = 2x^2 - 5x + c [/m] and passes [#permalink]
05 Mar 2021, 08:07
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