Move a graph, write the equation
A.
Move a graph up 2 units
Move the original graph y=x
up 2 units. The resultant graph is y=x+2.

Move the original graph y=Abs(x)
up 2 units. The resultant graph is y=Abs(x)+2.

Move the original graph y=x^{2}
up 2 units. The resultant graph is y=
x^{2}+2 
Move the original graph y=sin(x)
up 2 units. The resultant graph is y=2+sin(x).

Move the original graph y=x^{3}
up 2 units. The resultant graph is y=
x^{3}+2.

Move the original graph of the circle

Move the original graph of the ellipse x^{2}/9
+ y^{2}/4 = 1 up 2 units. The resultant graph is the
ellipse x^{2}/9 + (y2)^{2}/4 = 1

Move the original graph of the hyperbola x^{2}/9  y^{2}/4 = 1 up 2 units. The resultant graph is the hyperbola
x^{2}/9
 (y2)^{2}/4 = 1 
Move the original graph of the exponential
function y=2^{x} up 2 units.
The resultant graph is the exponential function
y= 2^{x
}+ 2.


Move the graph to right 2 units:
Move the original
graph y
=x to the right 2 units. The resultant graph is y =x 2.

Move the original
graph y
= lxl to the right 2 units. The resultant graph is y = lx 2l.

Move the original graph y =x^{2} to the right 2 units. The resultant graph is y = (x  2)^{2}.

Move the original
graph y
=sin(x) to the right 2 units. The resultant graph is
y =
sin(x2).

Move the original
graph y
= x^{3} to the right 2 units. The resultant graph is y = (x
– 2)^{3}.

Move the original
graph of the circle x^{2}^{ }+ y^{2} = 9 to
the right 2 units. The resultant graph is the circle (x
 2)^{2}^{ }+ y^{2}^{ }= 9.

Move the original
graph of the ellipse x^{2}/9 +
y^{2}/4 =
1 to the right 2 units. The resultant graph is the ellipse
(x2)^{2}/9 + y^{2}/4 = 1

Move the original
graph of the hyperbola x^{2}/9  y^{2}/4 =
1 to the right 2 units. The resultant graph is the hyperbola
(x
 2)^{2}^{ }/9  y^{2}/4 = 1

Move the original graph of the exponential function y=2^{x} to the right 3 units. The resultant graph is the exponential function y
= 2^{(x}^{3}^{)}.

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