Question

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

Answer 1

b

Explanation:

Answer 2

Answer: Option B.

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).