The maximum (or minimum) point of a quadratic graph is called the _____ .

The maximum (or minimum) point of a quadratic graph is called the _____ .

• A. Vertex
• B. Center
• C. Peak
• D. Crest

Answer: (A)

The turning point of a quadratic graph, where the parabola changes direction, is called the vertex. This point gives the extreme value: a minimum when the parabola opens upward (a > 0) and a maximum when it opens downward (a < 0). For a quadratic in standard form y = ax^2 + bx + c, the vertex occurs at x = -b/(2a), with the corresponding y-value f(-b/(2a)). So the vertex is at (-b/(2a), f(-b/(2a))). It also lies on the axis of symmetry x = -b/(2a). The terms center, peak, or crest aren’t the standard name for this point on a parabola.

The turning point of a quadratic graph, where the parabola changes direction, is called the vertex. This point gives the extreme value: a minimum when the parabola opens upward (a > 0) and a maximum when it opens downward (a < 0). For a quadratic in standard form y = ax^2 + bx + c, the vertex occurs at x = -b/(2a), with the corresponding y-value f(-b/(2a)). So the vertex is at (-b/(2a), f(-b/(2a))). It also lies on the axis of symmetry x = -b/(2a). The terms center, peak, or crest aren’t the standard name for this point on a parabola.