9
lesson pretestMultiple Choice

Pretest

Question 9 • Mathematics II

A parabola is represented by the equation y squared is equal to 5 x Which equation represents the directrix?

Answer
A
x is equal to negative 5 fourths
B
x is equal to negative 20
C
y is equal to negative 5 fourths
D
y is equal to negative 20

Explanation

The standard form of a parabola opening to the right is y² = 4px, where p is the distance from the vertex to the focus. Comparing y² = 5x with that form gives 4p = 5, so p = 5/4. The directrix is x = −p, which is x = −5/4, choice A.

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