The graph of y = x³ rises from bottom-left to top-right, flattening out as it passes through the origin.
| Domain | All real numbers (ℝ) |
| Range | All real numbers (ℝ) |
| Symmetry | Odd: symmetric about the origin |
| Increasing / decreasing | Increasing everywhere |
| Key feature | Point of inflection at (0, 0), where the curve changes from bending down to bending up |
In y = a(x − h)³ + k, the point of inflection moves from (0, 0) to (h, k).
a stretches the graph vertically and flips it when negative. h shifts it right (left when negative). k shifts it up (down when negative).
Can you spot a transformed x³?Play Vakra: name the curve in five plots