The graph of y = √x is the top half of a sideways parabola. It only exists for x ≥ 0.
| Domain | [0, ∞) |
| Range | [0, ∞) |
| Symmetry | Neither even nor odd |
| Increasing / decreasing | Increasing on [0, ∞) |
| Key feature | Starts at (0, 0) and rises ever more slowly |
In y = a√(x − h) + k, the starting point 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 √x?Play Vakra: name the curve in five plots