Question

A linear function, f(x), is defined by the equation f(x)= -3(x-2). The graph represents another linear function, g(x).

Answer 1

7 units.

Explanation:

g(x)'s y-intercept is (0, -1). If you graph the f(x) equation, you'll find the y-intercept, which is (0, 6). Therefore, the distance between the two linear functions is 7 units.

Answer 2

Answer C is the correct answer.

Explanation:

1. Find the y-intercept of both functions.

a) For f(x):

For this function, we can make "x"=0, because the x value is always 0 on the y-intercept.

`f(0)=-3((0)-2)\\ \\f(0)=-3(-2)\\ \\f(0)=-6`

Therefore, the y-intercept is located at point (0, -6).

b) For g(x):

Looking at the graph, you can tell that the y-intercept is located at point (0, -1).

2. Find the distance between the y-intercepts.

Since the y-intercept have the same "x" value, the absolute difference between the "y" values will give us the distance between the points:

`|(-6)-(-1)|=5`

3. Final answer.

The distance between the two y-intercepts is 5, therefore, answer C is the correct answer.