Stage 23 · Quadratic Functions

23.2.5 Vertex Form, y=a(x−h)²+k

23.2 First Look at the Graph: The Shape of a Parabola

Point 5 of 5

23.2.5 Vertex Form, y=a(x−h)²+k

Core idea

Move it sideways and up-and-down at once, and (h,k) is the bottom (or top) of the bowl — the vertex is visible at a glance.

Module goal. Start from the simplest form y=ax², understand which way it opens and how wide, and build an intuitive picture of the parabola.
eastmath.com · 23.2 First Look at the Graph: The Shape of a Parabola · 23.2.5 Vertex Form, y=a(x−h)²+k