To begin this exploration,
let us have a general Equation y=x+n
, where n = -4 to +4 (i.e
let the first equation passing through -4 be y=x-4 and the one
passing through -3 be y=x-3 etc). It can be noted that as the
value of n changes the shape of the graph does not change but
it is simply changes position. Note that the Slope of the line
and it's Shape does not change but only the position changes.
Due to change of position, both the y and the x intercepts are
affected as noted in the diagram and the **Graphing
Calc #0**.

**Next Graph**

The Graphs above represent a general Equation , where n =-3, +3. The Graph passing through (-3,0) is . As it can be noted from a bove, the shape and the general Slope of the Graphs do not change as the value of n changes. Note that as n changes, the position of the Graph is pushed along the X - axis therefore affecting only the position and the respective X co-ordinates of each Graph. It can be noted that as the parabola moves, it is tangent to the x - axis hence each having one real root. Click Graphing Calc # 00 for more illustration.

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03 -18 - 2001