Answer:
The equation to represent g(x) will be [tex]g(x)=log(x)+4[/tex]
Step-by-step explanation:
Considering the logarithmic function
[tex]f(x)=log(x)[/tex]
As we know that when a constant c gets added to the parent function, the result would be a vertical shift c units in the direction of the sign of c.
So,
[tex]g(x)=log(x)+4[/tex] is basically the shift up by 4 units, and the graph also showing the same situation.
Therefore, the equation to represent g(x) will be [tex]g(x)=log(x)+4[/tex]
Also, the graphs of both [tex]f(x)=log(x)[/tex] and [tex]g(x)=log(x)+4[/tex] is attached where black mark graph represents [tex]f(x)=log(x)[/tex] and red mark graph represents [tex]g(x)=log(x)+4[/tex].
Keywords: transformation, vertical shift, graph
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