Live measurements
- Amplitude
- 1.00
- Period
- 6.28 rad
- Phase shift
- 0.00 rad
- Minimum
- -1.00
- Maximum
- 1.00
MathematicsA-Level6 minBeta
Function Transformation Studio
Manipulate y = a sin(bx + c) + d and see amplitude, period, phase shift and range update together.
Model presets
Reviewed starting statesCurriculum map
- AQA A-Level Mathematics
Algebra and functions → Functions, transformations and the modulus - OCR A-Level Mathematics
Algebra and Functions → Functions, composite and inverse mappings
Model boundaries
- Angles are measured in radians.
- The displayed family is y = a sin(bx + c) + d.
- The view spans −2π to 2π on the x-axis.
StudyVector-authored graph model using exact trigonometric relationships; mapped to the reviewed curriculum topics shown below.
Accessible text description
A Cartesian graph compares a dashed reference curve y = sin x with a solid transformed sine curve. Sliders control a, b, c and d. Labels report amplitude, period, phase shift, midline, minimum and maximum so the visual change is also available numerically.