Function Transformation Visualizer

Master function transformations by exploring how changing parameters affects the graph in real-time. Compare the transformed function with the original base function.

Base Function

Transformed Function

y = sin (x)

Show original function (dashed)

a

(Vertical Stretch)

1.0

a f (x)

: Stretches vertically by factor

a

b

(Horizontal Stretch)

1.0

f (b x)

: Compresses horizontally by factor

b

c

(Horizontal Shift)

0.0

f (x - c)

: Shifts right by

c

units

d

(Vertical Shift)

0.0

f (x) + d

: Shifts up by

d

units

Reflect over x-axis (

- f (x)

)

Reflect over y-axis (

f (- x)

)