Answer:
The equation to represent g(x) will be 
Step-by-step explanation:
Considering the logarithmic function

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,
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 
Also, the graphs of both
and
is attached where black mark graph represents
and red mark graph represents
.
Keywords: transformation, vertical shift, graph
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<span>2.3684 rounded to the nearest thousandths is 2.368
</span>
The slope of the line is 2/3
Step-by-step explanation:
The slope of a line is the rate of change of the dependent variable (y) with respect to the rate of change of the independent variable (x). Mathematically,

where
is the increment of the y-variable
is the increment of the x-variable
Given two points of coordinates
and
belonging to the line, the slope of the line can be calculated as

In this problem, the following two points belong to the line:
(3,3)
(-3,-1)
Therefore, the slope of the line is:

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