Explain the sum of geometric progression​

A geometric progression is a sequence in which any element after the first is obtained by multiplying the preceding element by a constant called the common ratio which is denoted by r.

For example, the sequence 1, 2, 4, 8, 16, 32… is a geometric sequence with a common ratio of r = 2.

When 1 is multiplied by 2 it results in 2. When 2 is multiplied by 2 it gives 4. Likewise, when 4 is multiplied by 2 we get 8 and so on.

k = -2

Step-by-step explanation:

firstly, let us examine the kind of transformation that we have

We have a transformation from (3,2) to (3,0) and (-3,0) to (-3,-2)

So, we are actually subtracting 2 from the values of f(x) to get the values of g(x)

This shows a vertical translation to the tune of 2 units in the downward direction

So, the correct answer here is that -2 is being subtracted from f(x) to give g(x)

Accordingly, the value of k in the question is -2