Algebra II; transformed parent graph; please urgent!!!

[callmelexis]

ok, the question asks.



[attachment=0:3uvaxz4x]help.png[/attachment:3uvaxz4x]

^^^thats what the problem looks like, if my explaining is overrated

 

[soroban]

Hello, callmelexis!

$\displaystyle \text{Describe how the function has been transformed from: }\,y \,=\,\frac{1}{x}$

. . . $\displaystyle y \:=\:\frac{-6x-22}{x+4}$

$\displaystyle \text{Dividing, we have: }\:y \;=\;\frac{2}{x+4} - 6$


$\displaystyle \text{We know the graph of }\,y_1 \:=\:\frac{1}{x}$

$\displaystyle \text{The graph of }\:y_2 \:=\:\frac{1}{x+4}\:\text{ is }y_1\text{ moved 4 units to the left.}$

$\displaystyle \text{The graph of }\:y_3 \:=\:\frac{2}{x+4}\:\text{ is }y_2\text{ dilated by a factor of 2.}$

$\displaystyle \text{The graph of }\:y \:=\:\frac{2}{x+4}-6\:\text{ is }y_3\text{ lowered 6 units.}$