Name : Mohammed Ali Alghamdi ID : 201202625 Pre-calculas Sec Name : Mohammed Ali Alghamdi ID : 201202625 Pre-calculas Sec. 101 Project 1 : Ten Elementary Functions with sheft and reflex

Parent function f(x)=x shifting 4 up f(x) = x+4 shifting 4 down f(x) =x-4 reflex f(x) = -x sifting reflex 5 up f(x)=-x+5 shifting reflex 6 down f(x)=-x-6

Parent function f(x)=x^2 shifting 4 up f(x) = x^2 +4 shifting 3 down f(x) = x^2 -3 reflex f(x) = -(x)^2 shifting 3 right f(x) = (x-3)^2 shifting 2 left f(x) = (x+2)^2

Parent function f(x)=|x| shift up 5 f(x)=|x|+5 shift down 4 f(x)= |x|-5 Reflex f(x) = -|x| shift 7 right f(x)=|x-7| shift 3 left f(x)=|x+3|

Parent function f(x)=sqrt x shift up 3 f(x)=sqrt x +3 shift down 3 f(x)= sqrt x -3 shift 4 right f(x)=sqrt (x-4) shift 4 left f(x)=sqrt (x+4) Reflex around y axis f(x) = sqrt (-x) Reflex around x axis f(x)=-sqrt x

Parent function f(x)=2^x shift up 3 f(x)= 2^x +3 shift down 4 f(x)= 2^x -4 shift 6 right f(x)=2^(x-6) shift 5 left f(x)=2^(x+5) Reflex around y axis f(x) = 2^-x Reflex around x axis f(x)=-2^x

Parent function f(x)=1/x shift up 4 f(x)= 1/x +4 shift down 6 f(x)= 1/x -6 Reflex f(x) = -1/x shift 4 right f(x)=1/(x-4) shift 3 left f(x)=1/(x+3)

Parent function f(x)=x^3 shift up 3 f(x)=x^3 +3 shift down 2 f(x)= x^3 -2 Reflex f(x) = -x^3 shift 4 right f(x)=(x-4)^3 shift 2 left f(x)=(x+2)^3

Parent function f(x)=sin x shift up 4 f(x)=sin x +4 shift down 3 f(x)= sin x -3 shift 2 right f(x)=sin (x-2) shift 2.5 left f(x)=sin (x+2.5) Reflex f(x)=sin –x or f(x)= - sin x

Parent function f(x)=cos x shift up 3 f(x)=cos x +3 shift down 3 f(x)= cos x -3 shift 2 right f(x)=cos (x-2) shift 2 left f(x)=cos (x+2) Reflex f(x)= -cos x

Parent function f(x)=tan x shift up 5 f(x)=tan x +5 shift down 7 f(x)= tan x -7 shift 2 right f(x)=tan (x-2) shift 1.5 left f(x)=tan (x+1.5) Reflex f(x)= tan –x or f(x)= -tan x