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Sketching a transformed parabola
- mathematics
- advanced
- 14-16
Students sketch y = a(x − h)² + k on a labelled grid and give the vertex and two further points. Each variant moves one thing — the sideways shift, the vertical shift, the reflection or the stretch — so the five samples separate the four transformations.
Sample question
y = (x + 3)^2 + 1 Mark the vertex and two further points of this curve on the grid, then say in the box how the curve has moved from y = x².