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Levart [38]
2 years ago
13

Which statement describes the graph of function g compared to function f?

Mathematics
1 answer:
emmasim [6.3K]2 years ago
3 0

Answer: OPTION B.

Step-by-step explanation:

Below are some transformations for a function f(x):

1. If f(ax) and a>1, the function is compressed horizontally by a factor of \frac{1}{a}.

2. If f(ax)  and 0, the function is stretched horizontally by a factor of \frac{1}{a}.

3. If bf(x) and 0, the function is compressed vertically by a factor of "b".

4. If bf(x)  and b>1, the function is stretched vertically by a factor of "b".

In this  case you have the function f(x):

f(x)=6^{x-2}

And the function g(x):

g(x)=0.4(6)^{x-2}

So, you can identify that:

g(x)=bf(x) and  0

Therefore, the graph of the function g(x) is a vertical compression of the graph of function f(x).

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