6
lesson pretestMultiple Choice

Pretest

Question 6 • Mathematics II

A parabola has a vertex at open paren 0 comma 0 close paren The focus of the parabola is located on the positive x -axis. Which part of the graph will the directrix pass through?

Answer
A
the negative part of the x -axis
B
the origin
C
the positive part of the x -axis
D
the negative part of the y -axis

Explanation

A parabola’s directrix is perpendicular to the line from its vertex to its focus and lies on the opposite side of the vertex from the focus. Since the focus is on the positive x-axis and the vertex is at the origin, the directrix is a vertical line to the left of the origin, so it passes through the negative part of the x-axis. The correct choice is “the negative part of the x-axis.”

AI-written and checked against the verified answer.

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