Question

Which statement describes the graph of function g?

Answer 1

Answer: Option B.

Step-by-step explanation:

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

$y=mx+b$

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 $f(x)=2x$, you can identify that:

$m=2\\b=0$

 And for $g(x)=2x+3$, you can identify that:

$m=2\\b=3$

Therefore, you can observe that the slope does not change, but now the line $g(x)=2x+3$ cuts the y-axis at $y=3$. In other words, it was moved from $y=0$ to  $y=3$ (3 units on the y-axis)

Then, it is the graph of  $f(x)=2x$ translated 3 units upward, which means that the graph of g(x) is 3 units above the graph of f(x).