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Describing Transformations of Linear Functions

Describing Transformations of Linear Functions 1.4 - Solution

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The graph of a function on the form y=f(x+h),y=f(x+h), where hh is a positive number, is translated hh units to the left of that of f(x).f(x). Here we can write g(x)g(x) as follows. g(x)=f(x+2) g(x)=f(x+2) Therefore, the graph of g(x)g(x) is a horizontal translation 22 units left of the graph of f(x).f(x). Let's have a look in Ron-Jon's diagram. We will mark a few corresponding points in both graphs and measure the distance between them.

We can see that Ron-Jon's graph is translated horizontally 22 units but in the wrong direction. He should have translated it to the left instead. This is the error. Let's see how the correct graph looks like.