Linear Function
Parent Absolute Value Function
Parent Quadratic Function
Parent Exponential Function
Parent Square Root Function
y = f(x) + C
Moves the function up C units
y = f(x) - C
Moves the function down C units
y = f(x + C)
Moves the function left C units
y = f(x - C)
Moves the function right C units
y = -f(x)
Reflects the function about x-axis (flips it upside down)
y = 1/4 x^2 transforms to y = 1/4 (x+2)^2 +2
y = x^2 transforms to y = (x-2)^2 +3
y = Cf(x); when C>1
the function narrows (stretches the function in the y-direction)
f(x) = IxI transforms to f(x) = 2 Ix - 2I +1
Square root function reflecting over x axis
y=Cf(x); when 0<C<1
the function widens (compresses the function towards the x-axis)