Algebra Pre-Algebra and Basic Algebra Math Forum

 April 7th, 2014, 08:02 PM #1 Senior Member   Joined: Feb 2014 From: Louisiana Posts: 156 Thanks: 6 Math Focus: algebra and the calculus Linear function In the equation y = mx + b I know that changing b translates the the equation by the y-axis, but how does one translate the function by the x-axis? April 7th, 2014, 08:20 PM #2 Senior Member   Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 522 Math Focus: Calculus/ODEs If you want to translate a function horizontally, then use: $\displaystyle f(x-a)$ to move the function $a$ units to the right. So, your linew, translated $a$ units to the right, becomes: $\displaystyle y=m(x-a)+b$ Now, this may seem counter-intuitive...you might wonder why do I subtract from $x$ to move the function in a positive direction? Suppose your function has a root at $x=c$, that is: $\displaystyle f(c)=0$ Now, if we move this function $a$ units to the right, then we expect the root to move to $c+a$. Let's call the translated function $g(x)$, and so we require: $\displaystyle g(x)=f(x-a)$ We then find the root has moved to the right: $\displaystyle g(c+a)=f((c+a)-a)=f(c)=0$ Thanks from Mr Davis 97 Tags function, linear Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post king.oslo Linear Algebra 1 January 4th, 2014 06:08 AM William_33 Real Analysis 8 April 17th, 2013 09:44 PM deSitter Algebra 4 April 10th, 2013 02:17 PM valerieangel23 Algebra 2 September 12th, 2012 06:11 PM Lolypops Algebra 13 November 25th, 2011 04:05 PM

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