135k views
4 votes
How does the graph of the function g(x) = 2x – 4 differ from the graph of f(x) = 2x

User Angalic
by
5.2k points

1 Answer

3 votes

9514 1404 393

Answer:

the y-intercepts differ

Explanation:

The x-coefficient is the same for each function, so parallel lines are described. The function g(x) has a y-intercept of -4; f(x) has a y-intercept of 0.

The graphs differ in their intercepts.

__

Additional comment

g(x) can be considered to be a translation downward of f(x) by 4 units. The same graph of g(x) can be obtained by translating f(x) to the right by 2 units. That is, both the x-intercepts and y-intercepts differ between the two functions.

How does the graph of the function g(x) = 2x – 4 differ from the graph of f(x) = 2x-example-1
User Plonser
by
4.8k points