How to Horizontally Translate a Linear Function

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Horizontally translating a linear function is something that you would do in association with the X axis. Horizontally translate a linear function with help from a professional private tutor in this free video clip.

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Video Transcript

Hi, I'm Rachel, and today we're going to be going over how to horizontally translate a linear function. Let's look at translating it over the x-axis. So let's say we have a linear function like so, right? And we want to translate that over the x-axis. That just means we have the mirror image, you have to think about flipping it. If you were to fold this, you just flip it over, and that's how you would translate it over the x-axis. So, say this point is zero negative four, right? So say that this is a slope of one. It looks like a good slope of one. So let's say that this line is y equals x minus four, right? If we're going to translate that over the x-axis we're going to fold it, think of folding it, and it's going to instead intersect at four, and it's going to have the same slope, right? So now it will be y equals x plus four. And it's just folded over on itself, and we just translated it horizontally over the x-axis. And can translate a number over any imaginary axis. If you want to translate it over this line, you just do the same thing, think of folding it. This line could be y equals, you know, negative 16, and you could just think of folding it over, and get your points like that. It's just going to be equidistant from both sides of the line you used to translate it over. I'm Rachel, and thanks for learning with us today.


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