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Describing Transformations of Rational Functions

Describing Transformations of Rational Functions 1.2 - Solution

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Using the form we want to write a rational function that matches the given graph.

We can see that the vertical asymptote is the line Therefore, we have that Similarly, we see that the horizontal asymptote is the line With this, we know that We can write a partial equation of the function. To find the value of we can use any of the points on the curve. For simplicity, we will use the point Therefore, we will substitute for and for and solve for
Solve for
Finally, we can write the desired equation.