# y=a/x y=1/(bx) y=1/(x+c) what do a,b and c do? and if graphed what are the results, conclusions, patterns and other generalisations that you find?

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"a" determines the width of the graph.

Below is a graph showing:

y = 2/x

y = 4/x

The* larger* the value of "a", the *wider* the graph.

"b" also determines the width of the graph.

Below is a graph showing:

y = 1/0.5x

y = 1/0.25x

Notice that the graphs are the same as the graphs above. This is because "b" is the reciprocal of "a". (2 is the reciprocal of 0.5) (4 is the reciprocal of 0.25) Because of this, the *smaller* the value of "b", the *wider* the graph.

"c" shifts the graph along the horizontal axis.

Below is a graph showing:

y = 1/x

y = 1/(x + 5)

y = 1/(x + -5)

When "c" is a *positive* number, the graph shifts *left*.

When "c" is a *negative* number, the graph shifts *right*.

thank you :)