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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...

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lilian-0716 | Student | Salutatorian

Posted August 12, 2013 at 8:23 PM via web

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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?

Tagged with math, maths

2 Answers | Add Yours

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samhouston | Middle School Teacher | (Level 1) Associate Educator

Posted August 12, 2013 at 9:03 PM (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.

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lilian-0716 | Student | Salutatorian

Posted August 19, 2013 at 6:51 AM (Answer #2)

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thank you :)

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