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홈 / 라이브러리 / Digital SAT Math: Algebra, Advanced Math & Geometry / AI 플래시카드

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?

덱 'Digital SAT Math: Algebra, Advanced Math & Geometry'의 플래시카드.

정답

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 $x = -\frac{b}{2a}$.

해설

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 생성 콘텐츠 · 감수: Ada