10 Elementary Functions Graphing Parent Functions Project #1 Fahad Alkanaan ID: 201202635 Section: 101 Pre-Calculus Submitted Date: 16 Oct 2012 Due Date: 17 Oct 2012

Parent Function f(x)=x Shift 3 units up f(x)= x+3 Shift 2 units down f(x)= x-2 Shift 5 units left f(x)= (x+5) Shift 4 units right f(x)= (x-4) Reflection around x-axis and 7 units up f(x)= -x+7 Reflection around y-axis and 6 units down f(x)= -x-6

Parent Function f(x)= x^2 Shift up 3 units f(x)= x^2 +3 Shift down 2 units f(x)= x^2 -2 Shift left 1 unit f(x)= (x+1)^2 Shift right 4 units f(x)= (x-4)^2 Shift around x-axis f(x)= -x^2

Parent Function f(x)= abs x Shift up 2 units f(x)= abs x+2 Shift down 3 units f(x)= abs x-3 Shift left 4 units f(x)= abs (x+4) Shift right 1 unit f(x)= abs (x-1) Shift around x-axis f(x)= - abs x

Parent Function f(x)= sqrt x Shift up 4 units f(x)= sqrt x+4 Shift down 2 units f(x)= sqrt x-2 Shift left 3 units f(x)= sqrt (x+3) Shift right 1 unit f(x)= sqrt (x-1) Shift around x-axis f(x)= - sqrt x Shift around y-axis f(x)= - sqrt -x

Parent Function f(x)= 2^x Shift up 3 units f(x)= 2^x +3 Shift down 5 units f(x)= 2^x – 5 Shift left 1 unit f(x)= 2^(x+1) Shift right 2 units f(x)= 2^(x-2) Reflects around x-axis f(x)= -2^x Reflects around y-axis f(x)= 2^-x Reflection of reflected around y-axis f(x)= -2^-x

Parent Function f(x)= 1/x Shift up 1 unit f(x)= 1/x +1 Shift down 5 units f(x)= 1/x -5 Shift left 3 units f(x)= 1/(x+3) Shift right 4 units f(x) 1/(x-4) reflex around x-axis f(x)=-1/x

Parent Function f(x)= x^3 Shift up 2 units f(x)= x^3 +2 Shift down 4 units f(x)= x^3 -4 Shift left 3 units f(x)= (x+3)^3 Shift right 6 units f(x)= (x-6)^3 Reflects around x-axis f(x)= -x^3

Parent Function f(x)= Sin x Shift up 7 units f(x)= Sin x+7 Shift down 4 units f(x)= Sin x-4 Shift left 2 units f(x)= Sin (x+2) Shift right 1 unit f(x)= Sin (x-1) Reflects around x-axis f(x)= - Sin x

Parent Function f(x)= Cos x Shift up 2 units f(x)= Cos x+2 Shift down 5 units f(x)= Cos x-5 Shift left 4 units f(x)= Cos (x+4) Shift right 7 units f(x)= Cos (x-7) Reflects around x-axis f(x)= - Cos x

Parent Function f(x)= Tan x Shift up 1 unit f(x)= Tan x+1 Shift down 2 units f(x)= Tan x-2 Shift left 5 units f(x)= Tan (x+5) Shift right 4 units f(x)= Tan (x-4) Reflects around x-axis f(x)= - Tan x