## SUVAT equations

where

Variable | Description | SI unit |
---|---|---|

S | displacement | m (metres) |

U | initial velocity | m/s (metres per second) |

V | final velocity | m/s (metres per second) |

A | acceleration | 9.8 m/s/s (metres per second per second) |

T | total time | s (seconds) |

## Trigonometric Identities

### Fundamental Formulae

### Double Angle Formulae

### Compound Angle Formulae

## Transformations

### y-transformations

A y-transformation affects the y coordinates of a curve. You can identify a y-transformation as changes are made outside the brackets of y=f(x).

- , this is a shift in y, the x coordinates are unaffected but all the y coordinates go up by 4.
- , this is a shift in y, the x coordinates are unaffected but all the y coordinates go down by 3.
- , this is a stretch in y, the x coordinates are unaffected but all the y coordinates are doubled.
- , this is a flip in y, the x coordinates are unaffected but all the y coordinates are flipped across the x-axis.

### x-transformations

x-transformations always behave in the opposite way to what is expected. They can be identified when changes are made inside the brackets of y=f(x).

- , this is a shift in the x direction, the y coordinates are unaffected but all the x coordinates go to the left by 4, the opposite direction to what is expected.
- , this is a shift in the x direction, the y coordinates are unaffected but all the x coordinates go to the right by 3, the opposite direction to what is expected.
- , this is a stretch in the x direction, the y coordinates are unaffected but all the x coordinates are halved, the opposite to what is expected.
- , this is a flip in the x direction, the y coordinates are unaffected but all the x coordinates are flipped across the y-axis.

## The Equation of a Circle

The equation of the circle whose centre is at the point (a,b) and whose radius is r is given by

.