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Home > A2C > Chapter 6 > Lesson 6.2.5 > Problem 6-117


Sketch the graph of .

First sketch the parent graph .
Two points on this curve are .
There is a vertical asymptote of .

Use the Order of Operations when transforming functions.
Begin by shifting the curve left units.
The two points are now . The vertical asymptote is .

Next, apply the vertical stretch factor of .
This means remains in place, but becomes .
The vertical asymptote is still .

Finally, shift the curve down unit.