Visual Growth Patterns

The Equation

y = −x² + 6x + 4
Maximum y = 13The pattern peaks at Case 3. No case can ever have more than 13 pieces.

The Table

Case (x)ΔxPieces (y)Δy

Δy is the change from the case before (x − 1). Use “Show more” to see every digit of a long number.

The Graph

y = −x² + 6x + 4Table valuesNewest value

Hover over the graph (or tap it on a phone) to see the exact point on the curve.