6
QuizMultiple Choice

Graphing Parametric Equations

Question 6 • Precalculus

Which equation represents a parabola?

Answer
A
4x2 – 2x + 3y2 – y + 1 = 0
B
x2 + x – 2y2 – 4y + 2 = 0
C
–3x + 4y2 – 2y + 6 = 0
D
2x2 + y2 – 4y + 6 = 0

Explanation

A parabola has a squared term for one variable and a linear term for the other. In choice C, the equation has y² but only x to the first power: −3x + 4y² − 2y + 6 = 0, so it represents a parabola. Choices A and D have squared terms for both variables with the same sign, while B has squared terms with opposite signs.

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