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# Graphing Rational Functions

## Graphing Rational Functions 1.6 - Solution

A rational function in the form $y=\frac{a}{x-h}+k$ has a vertical asymptote at $x=h$ and a horizontal asymptote at $y=k.$ Now we should find a function where $h=\text{-}4$ and $y=7.$ Since $h$ is negative in the general formula we have to rewrite some of the expressions.

Function Rewrite Asympototes
A $y=\dfrac{2}{x-4}+7$ $x=4$ and $y=7$
B $y=\dfrac{2}{x-4}-7$ $x=4$ and $y=\text{-}7$
C $y=\dfrac{2}{x+4}+7$ $x=\text{-}4$ and $x=7$
D $y=\dfrac{2}{x+4}-7$ $x=\text{-}4$ and $y=\text{-}7$

Therefore, the correct option is C.