How can I transform a parabolic or hyperbolic graph into a linear one?

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To transform a parabolic or hyperbolic graph into a linear one, the key is to adjust the axes appropriately. For a parabolic graph, replace the manipulated variable (n) on the horizontal axis with its square (n²), marking intervals like 0, 1, 4, 9, etc. This adjustment allows the graph to display a linear relationship. If dealing with a hyperbolic graph, the same principle applies but for the responding variable (m). This method effectively linearizes the graph for easier analysis.
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Homework Statement



-m is the responding variable, n is the manipluated variable
-the equation is m + 4 = nE2 - 6
-so to graph our equation we have m = n(squared) - 10
-our graph is parabolic

ok that's no problem.

The question I have is what is the procedure to take one of these graphs and make it linear weather it be parabolic or hyperbolic?

Thank you guys.
 
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meeklobraca said:
The question I have is what is the procedure to take one of these graphs and make it linear weather it be parabolic or hyperbolic?

Thank you guys.

Hi meeklobraca! :smile:

Just put n² along the bottom axis, instead of n.

In other words, mark 0, 1, 4, 9, … at equal intervals along the axis. :smile:

(and if it was hyperbolic, you'd have to do the same for the m-axis :wink:)
 

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