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

 Move the original graph y=x3 up 2 units. The resultant graph is y= x3+2. Move the original graph of the circle x2 + y2 = 4 up 2 units. The resultant graph is the circle x2 + (y-2)2 = 4.

 Move the original graph of the ellipse  x2/9 + y2/4 = 1 up 2 units. The resultant graph is the ellipse  x2/9 + (y-2)2/4 = 1 Move the original graph of the hyperbola x2/9 - y2/4 = 1 up 2 units. The resultant graph is the hyperbola            x2/9 - (y-2)2/4 = 1

 Move the original graph of the exponential function y=2x up 2 units. The resultant graph is the exponential function  y= 2x + 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 =x2 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(x-2).

 Move the original graph y = x3 to the right 2 units. The resultant graph is y = (x – 2)3. Move the original graph of the circle x2 + y2 = 9 to the right 2 units. The resultant graph is the circle (x - 2)2 + y2 = 9.

 Move the original graph of the ellipse x2/9 + y2/4 = 1 to the right 2 units. The resultant graph is the ellipse  (x-2)2/9 + y2/4 = 1 Move the original graph of the hyperbola x2/9 - y2/4 = 1 to the right 2 units. The resultant graph is the hyperbola  (x - 2)2 /9 - y2/4 = 1

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

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