MCF3M – Grade 11 Functions and Applications Formula Sheet

Thanks, Gagan!

AxisofCurve y maxmin 2

FORMULA SHEET

Quadratic Forms:

StandardForm: Factored Form: Vertex Form:

= 2 + + = ( – )( – ) = (– h)2 +

Quadratic Formula x 

b b2 4ac 2a

Pythagorean Theorem

c2 =a2 +b2

Amplitude a  max min 2

Exponential Function: = + Exponential Decay/Growth: () = ()h

Exponential Growth: () = (1 + )

Exponential Decay: () = (1 − )

Simple Interest: = = + = =

Compound Interest: = (1 + ) OR

PresentValue: = (1 + )− OR

= (1 + ) = (1 + )−

Annuities: = [(1+)−1]

= [1−(1+)−]

Primary Trigonometric Ratios:

sin = cos = tan = h h

Sine Law a  b  c or sin A  sin B  sin C sin A sin B sin C a b c

CosineLaw a2 b2 c22bccosA b2 a2 c22accosB c2 a2 b2 2abcosC