add maths things to remember

f(2x)

horizontal shrink by 1/2

2f(x)

vertical stretch by 2

y=-f(x)

reflection in x axis

y=f(-x)

reflection in y axis

f(x)+b

change in y by b

f(x+a)

change in x by -a

factor theorem

if (x-a) is a factor of the polynomial f(x), then x=a is a root/solution of the equation f(x)=0

remainder theorem

If a polynomial f(x) is divided by (x-a), the remainder is f(a)

quadratic formula

binomial expansion

nCr =

midpoint =

(x1+x2/2, y1+y2/2)

distance between 2 points

√((x2 - x1)² + (y2 - y1)²)

equation of straight line with gradient m through point (x0, y0)

y-y0=m(x-x0)

tanθ =

sinθ/cosθ

sin^2θ + cos^2θ =

1

cosine rule

gradient of turning points =

0

if d2y/dx2 > 0, turning point is

minimum

if d2y/dx2 < 0, turning point is

maximum

are under curve between x=a and x=b is

trapezium rule

SUVAT IF ACCELERATION IS CONSTANT

kinematics if acceleration is not constant

x=a^n

loga(x) = n

loga xy =

logax + logay

loga x/y =

logax - logay

loga x^m =

m logax

nPr

n!//(n-r)!

nCr

n!/r!(n-r)!