6
QuizMultiple Choice

Parabolas

Question 6 • *CR CCSS Math 2 S2 [M2960OX]

The focus of a parabola is located at (0,–2). The directrix of the parabola is represented by y = 2.

Answer
A
y2 = –2x
B
x2 = –2y
C
y2 = –8x
D
x2 = –8y

Explanation

The vertex lies halfway between the focus at (0, −2) and the directrix y = 2, so the vertex is (0, 0). The parabola has a vertical axis and opens downward; in vertex form, x² = 4py, where p = −2. Thus x² = 4(−2)y = −8y, which is choice D.

AI-written and checked against the verified answer.

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