The linear functions f(x) and g(x) are represented on the graph, where g) is a transformation of f(x)
Part A: Describe two types of transformations that can be used to transform f(x) to g(x).
Part B: Solve for k in each type of transformation.
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x).

The linear functions are in the image attached.

Notice that g(x) was shifted 6 units to the left, that's one transformation which can describe the relation. A second form to describe g(x) is that was shifted 18 units upside.

The variable refers to the units of translation, so they are defined as

and .

To find their equations, we need to find their slope, which is congruent for both of them, because they are parallel.

Let's use points (-6, -1) and (0, 17).

Now, we need to see the y-intercept of each function, which are -1 and 17.

Therefore, the equations are

Plug in the value into this function

Thus, your answer will be D) -8. Let me know if you need any clarifications, thanks!