Which statement describes the graph of function g?

f(x)=2x

g(x)=2x+3

a.

the graph of g is 3 units to the left of the graph of f.

b.

the graph of g is 3 units above the graph of f.

c.

the graph of g is 3 units below the graph of f.

d.

the graph of g is 3 units to the right of the graph of f.

the correct answer is b

Option B.

Step-by-step explanation:

The equation of the line in Slope-intercerpt form is:

Where "m" is the slope of the line and "b" is the intersection of the line with the y-axis.

For the graph of the line , you can identify that:

 And for , you can identify that:

Therefore, you can observe that the slope does not change, but now the line cuts the y-axis at . In other words, it was moved from to   (3 units on the y-axis)

Then, it is the graph of   translated 3 units upward, which means that the graph of g(x) is 3 units above the graph of f(x).

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step-by-step explanation: