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What is the vertex form of a parabola, and how are the coordinates of the vertex expressed?

デッキ「Digital SAT: Comprehensive Practice (Math & Reading-Writing)」の単語カード。

解答

$y = a(x - h)^2 + k$, where the vertex is located at $(h, k)$ and the axis of symmetry is $x = h$.

解説

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

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