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GenaCL600 [577]
3 years ago
8

Given the following geometric sequence, find the common ratio: {3, 18, 108, ...).

Mathematics
1 answer:
vodomira [7]3 years ago
4 0
Geometric sequences go up due to a common ratio. Here the common ratio can be worked out by dividing a term by its previous term e.g term 2 divided by term 1.

18/3 = 6


Therefore the common ratio is 6.
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The graph of function g is a vertical stretch of the graph of function f ​​by a factor of 3. Which equation describes function g
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Answer:


Step-by-step explanation:

A vertical stretch by a factor of k means that the point (x, y) on the graph of f (x) is transformed to the point (x, ky) on the graph of g(x), where k <1.

If k =1, then same graph we obtain and if k>1 we get a vertically shrink graph.

In our question, there is a vertical stretch of 3. This means new graph would have points as (x,y/3)

i.e. instead of f(x) = y, we have now f(x) = y/3

So transformation is g(x) = 3f(x)

Option A is correct.

2) Here f(x) = 3x+8 is transformed to g(x) =3x+6

i.e. y intercept is reduced by 2 units.  Hence there is a translation of 2 units down.


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