Curves & Parabolas
Explore quadratic functions, vertex form, and the elegant symmetry of parabolas.
Levels
Tap a level to start exploring. Earn up to 3 stars per level!
Adjust a, h, and k to see how they shape a parabola. Discover vertex form: y = a(x-h)² + k.
A parabola appears on the graph. Identify its equation from the choices.
A ghost parabola is shown. Type the equation in vertex form to match it.
Adjust a, h, and k so the parabola passes through two marked points.
Use parabolas to draw smiles, fountains, letters, and free-form art!
Reshape parabolas with the a, h, and k sliders to send the marble sliding into the goal!
Start with Bounce Explorer to discover how the parameters
a, h, and k control a parabola's shape
and position. Then test your skills with identify, match, and create
challenges!
Complete all five levels to unlock Parabolic Plunge — a physics bonus level where you reshape the parabolic bowl to
guide the marble to the goal!