Ashley W.

asked • 02/02/17

What Is the Effect of the graph on parent function?

Consider the graph y = f(kx), when k > 1. What is the effect of the graph on parent function?

Mark M.

Your notation is strange (y is f(x)). Should it be: f(x) = kx?
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02/02/17

Kenneth S.

Mark: Is y = sin(2x) strange?
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02/02/17

Mark M.

No, not to me. Usually f(x) is used in place of y to indicate a function. So having both in an equation (y = f(x)) is unusual if not incorrect.
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02/02/17

1 Expert Answer

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Kenneth S. answered • 02/02/17

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The effect of the k value within the argument of a function, when k>1, is to horizontally compress the graph of the parent function.
 
For example, if parent function is y = x, you have a straight line passing through the Origin at a 45 degree angle, if the scales on the x and y axes are identical.
 
Then y = 2x would be compressed in such a way that the angle of the parent line would be increased, thus making this daughter line steeper, or horizontally compressed. 
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Mark M.

Or vertically stretched?
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02/02/17

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