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Sketch a graph of . Homework Help ✎

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

Use the Order of Operations when transforming functions.
Begin by shifting the curve left 4 units.
The two points are now and . The vertical asymptote is .

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