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# Transformations

FunctionTransformation
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
Created by: lajerauld