Stage 23 · Quadratic Functions

23.2.4 Sliding Left and Right with y=a(x−h)²

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

Point 4 of 5

23.2.4 Sliding Left and Right with y=a(x−h)²

Core idea

The whole bowl shifts sideways: replacing x with x−h slides it h to the right, and the axis of symmetry moves with it.

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 · 23.2.4 Sliding Left and Right with y=a(x−h)²