Translations
Original Function: f(x)=x2
Transformed Function: g(x)= (x-9)2
Right 9
Original Function: f(x)=(x+1)3
Transformed Function: g(x)=-(x+1)3
Reflection Over x-axis
Original Function: f(x)=(x+1)2
Transformed Function: g(x)=8(x+1)2
Vertical Stretch with k=8
Original Function: f(x)=x3
Transformed Function: g(x)=...
Translate Left 3 and Up 5
g(x)=(x+3)3+5
Original Function: f(x)=x2
Transformed Function: g(x)= x2-2
Down 2
Original Function: f(x)=(x-7)3+5
Transformed Function: g(x)=-(x-7)3-5
Reflection Over x-axis
Original Function: f(x)=(x+1)2
Transformed Function: g(x)=(1/3x+1)2
Horizontal Stretch with k=3
Original Function: f(x)=x3
Transformed Function: g(x)=...
Translate Right 7 and Down 4
g(x)=(x-7)3-4
Original Function: f(x)=x2
Transformed Function: g(x)= (x+3)2+4
Left 3
Up 4
Original Function: f(x)=(x-2)2+5
Transformed Function: g(x)=(-x-2)2+5
Reflection Over y-axis
Original Function: f(x)=(x-6)2
Transformed Function: g(x)=1/2(x-6)2
Vertical Stretch with k=1/2
Original Function: f(x)=x5
Transformed Function: g(x)=...
Translate Right 1
Vertical Stretch with scale factor of 4
g(x)=4(x-1)5
Original Function: f(x)=x2
Transformed Function: g(x)= (x-2)2-6
Right 2
Down 6
Original Function: f(x)=(x+6)2-10
Transformed Function: g(x)=(-x+6)2-10
Reflection Over y-axis
Original Function: f(x)=(x-6)2
Transformed Function: g(x)=(1/2x-6)2
Horizontal Stretch with k=2
Original Function: f(x)=x5
Transformed Function: g(x)=...
Translate Left 1
Horizontal Stretch with scale factor of 6
g(x)=(1/6x+1)5
Original Function: f(x)=(x-3)2+7
Transformed Function: g(x)= (x+3)2+5
Left 6
Down 2
Original Function: f(x)=(x+5)4+5
Transformed Function: g(x)=-(-x+5)4-5
Reflection Over x-axis AND y-axis
Original Function: f(x)=(x+2)2-12
Transformed Function: g(x)=4(5x+2)2-48
Vertical Stretch with k=4
Horizontal Stretch with k=1/5
Original Function: f(x)=x2
Transformed Function: g(x)=...
Translate Left 3 and Down 7
Reflect over y-axis
Vertical Stretch with scale factor of 3
g(x)=3(-x+3)2-7