AdaAda

ホーム / ライブラリ / Digital SAT Math: Algebra, Advanced Math & Geometry / AI単語カード

What are the coordinates of the vertex of a parabola in standard form $y = ax^2 + bx + c$, and what is the axis of symmetry?

デッキ「Digital SAT Math: Algebra, Advanced Math & Geometry」の単語カード。

解答

The vertex is at $(h, k)$ where $h = -\frac{b}{2a}$ and $k = f\left(-\frac{b}{2a}\right)$. The axis of symmetry is the vertical line $x = -\frac{b}{2a}$.

解説

If $a > 0$, the parabola opens upward and $k$ is the minimum value; if $a < 0$, the parabola opens downward and $k$ is the maximum value.

AI生成コンテンツ · 監修: Ada