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y=a/x y=1/(bx) y=1/(x+c) what do a,b and c do? and if graphed what are the...

lilian-0716's profile pic

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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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samhouston's profile pic

Posted (Answer #1)

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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.

lilian-0716's profile pic

Posted (Answer #2)

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thank you :)

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