Respuesta :
The transformed equation [tex]$g(x)=\frac{1}{x+4}-6$[/tex] , the graph is shifted 4 units to the left and 6 units down.
Explanation:
The parent equation is [tex]$f(x)=\frac{1}{x}$[/tex]
The transformed equation is [tex]$g(x)=\frac{1}{x+4}-6$[/tex]
By using the function transformation rules, we can see that the parent function [tex]$f(x)=\frac{1}{x}$[/tex] is transformed into the function [tex]$g(x)=\frac{1}{x+4}-6$[/tex]
Since, from the function transformation rules, we know that,
[tex]$f(x+b)$[/tex] 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,
[tex]$f(x)-b$[/tex] shifts the function b units downward.
Thus, the transformed function is shifted 6 units down.
Thus, the transformed equation [tex]$g(x)=\frac{1}{x+4}-6$[/tex] , the graph is shifted 4 units to the left and 6 units down.
Answer:
the graph is shifted 4 units to the left and 6 units down.
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