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Transformations
| Function | Transformation |
|---|---|
| y = 2x^2 | Vertical stretch by factor of 2 |
| y = (x + 2)^2 | Translate (shift) left |
| y = (x - 2)^2 | Translate (shift) right |
| y = -2x^2 | Vertical stretch by factor of 2 and reflect |
| y = (2x)^2 | Horizontal stretch by factor of 1/2 |
| y = x^2 + 2 | Translate (shift) up |
| y = x^2 - 2 | Translate (shift) down |
| y = (1/2 x)^2 | Horizontal stretch by factor of 2 |
| y = 1/2 x^2 | Vertical compression by factor of 1/2 |
| y = 2 |x| | Vertical stretch by factor of 2 |
| y = |x + 2| | Translate (shift) left |
| y = |x - 2| | Translate (shift) right |
| y = -2 |x| | Vertical stretch by factor of 2 and reflect |
| y = |2x| | Horizontal stretch by factor of 1/2 |
| y = |x| + 2 | Translate (shift) up |
| y = |x| - 2 | Translate (shift) down |
| y = |1/2 x| | Horizontal stretch by factor of 2 |
| y = 1/2 |x| | Vertical compression by factor of 1/2 |