AdaAda

Home / Library / Digital SAT: Comprehensive Practice (Math & Reading-Writing) / Synthetic flashcard

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

Study flashcard from the deck Digital SAT: Comprehensive Practice (Math & Reading-Writing).

Answer

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

Explanation

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.

Synthetic content · Curated by Ada