y = f(x) ----> y = f(x) + a

moves up by a
 

Area of a sector =

½ r² θ^c

log_a1

0

Completing the square

x + 2kx =

 (x + k)² - k²

Equation of a Circle

Centre: (a,b)

Radius: r

(x-a)² + (y -b)² = r²

y = f(x) ----> y = f(-x)

reflection in y-axis

Sine Rule

SinA    SinB    SinC

_______  =  ________  = ________ 

A         B        C

log_aa

1

Points of Inflection

d²y

______

dx²

0

Two identies equation

1 = cos²θ + sin²θ

y = f(x) ----> y = af(x)

stretch of scale factor a parallel to the y-axis

Finding the midpoint

(½[x₁ + x₂], ½[y₁ + y₂])

Minimum Points

d²y

______

dx²

Positive or 0

log(a^b)

bloga

tanθ =

sinθ

_________

cosθ

The discriminant

 b² - 4ac

  > 0  - 2 solutions

  = 0  - 1 repeated solution

  < 0  - 0 solutions

  
y = f(x) ----> y = -f(x)  

Reflection in the x-axis

log(^a/_b)

loga - logb

Stationary Point

dy

______

dx

0

Area of a triangle

y = f(x) ----> y = f(x + a)

move left by a

log(ab)

loga + logb

Differentiation

 y =axⁿ

^dy/_dx = anx^n-1

Quadratic Formula

b±√b² - 4ac

     x = ———————

2a

Maximum Points

d²y

______

dx²

Negative or 0

y = f(x) ----> y = f(ax)

stretch of scale factor ¹/_a parallel to the x-axis

 Area of a triangle formed by two radii and a chord

  Integration