Which statement identifies the axis of symmetry for a quadratic in standard form?

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Prepare for the Praxis Middle School Mathematics Exam with quizzes. Study with flashcards and multiple choice questions. Each question provides hints and detailed explanations. Ensure success on your test!

Multiple Choice

Which statement identifies the axis of symmetry for a quadratic in standard form?

Explanation:
The axis of symmetry of a parabola y = ax^2 + bx + c is a vertical line that passes through its vertex. This line has x-coordinate -b/(2a), so the axis is x = -b/(2a). Because reflecting the graph across this vertical line maps the parabola onto itself, the statement that identifies the axis is the vertical line through the vertex. The other ideas don’t fit: x = 0 is only the axis in the special case when b = 0, not in general; a horizontal line through the vertex would not reflect the parabola onto itself; and y = ax^2 describes the parabola itself, not its axis of symmetry.

The axis of symmetry of a parabola y = ax^2 + bx + c is a vertical line that passes through its vertex. This line has x-coordinate -b/(2a), so the axis is x = -b/(2a). Because reflecting the graph across this vertical line maps the parabola onto itself, the statement that identifies the axis is the vertical line through the vertex. The other ideas don’t fit: x = 0 is only the axis in the special case when b = 0, not in general; a horizontal line through the vertex would not reflect the parabola onto itself; and y = ax^2 describes the parabola itself, not its axis of symmetry.

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