Here are some of the most basic graphs, and the effects of making changes to the basic definitions of the functions:

Line:  y=x Parabola:  y=x2 Cubic:  y=x3

Change sign of coefficient:
y = -x

Change sign of coefficient:
y = -x2

Change sign of coefficient:
y = -x3

Change to Slope:  y=2x

Change to Horizontal Component: 
 y = (x + 1)2

Change to Horizontal Component:
y = (x-2)3

Change to vertical component:

y = x + 3

Change to Vertical Component:

y = x2 - 4

Change to Vertical Component:

Y = x3 + 4


OTHER  BASIC  GRAPHS

y = |x| y = ex y = 1/x

 

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