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Horizontal Translations











































For the function, identify the horizontal translation of the parent function, f(x)=x(2). The fuction is y=(x-4)^2

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Oct 02, 2011
Horizontal Translations
by: Staff


The question:

For the function, identify the horizontal translation of the parent function, f(x)=x(2). The fuction is y=(x-4)^2


answer:

parent function

f(x) = x²


function

f(x)= (x - 4)²


This is a horizontal translation of the parent function. 4 is subtracted from x before the quantity is squared.

A graph of the parent function f(x) = x² is translated 4 units to the right.


The shape of the parent function does not change in any way. The “- 4” merely shifts the entire graph four units to the right along the x axis.


Thanks for writing.

Staff
www.solving-math-problems.com



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