The transformed equation
, the graph is shifted 4 units to the left and 6 units down.
Explanation:
The parent equation is ![$f(x)=\frac{1}{x}$](https://tex.z-dn.net/?f=%24f%28x%29%3D%5Cfrac%7B1%7D%7Bx%7D%24)
The transformed equation is ![$g(x)=\frac{1}{x+4}-6$](https://tex.z-dn.net/?f=%24g%28x%29%3D%5Cfrac%7B1%7D%7Bx%2B4%7D-6%24)
By using the function transformation rules, we can see that the parent function
is transformed into the function ![$g(x)=\frac{1}{x+4}-6$](https://tex.z-dn.net/?f=%24g%28x%29%3D%5Cfrac%7B1%7D%7Bx%2B4%7D-6%24)
Since, from the function transformation rules, we know that,
shifts the function b units to the left.
Thus, the transformed function is shifted 4 units to the left.
Also, from the function transformation rules, we know that,
shifts the function b units downward.
Thus, the transformed function is shifted 6 units down.
Thus, the transformed equation
, the graph is shifted 4 units to the left and 6 units down.