sideways parabola

A sideways parabola is not a function.

Transclude of sideways-parabola-2025-03-02-12.46.49.excalidraw

Rough sketch for now. Whoop.

It does not pass the vertical line test so is not a function.

General form for sideways parabola is $(y-k{)}^2=a(x-h)$

• The vertex is $(h,k)$. This means the axis of symmetry is $y=k$
• If a is negative there is a reflection in y axis.

k n