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
.