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user100 [1]
2 years ago
13

The parent function f(x) = log3x has been transformed by reflecting it over the x-axis, stretching it vertically by a factor of

two and shifting it down three units. Which function is representative of this transformation?
g(x) = log3(-2x) - 3
g(x) = log3(2x) + 3
g(x) = -2log3(x) - 3
g(x) = 2log3(x) + 3
Mathematics
1 answer:
artcher [175]2 years ago
3 0

Answer:

Third option.

Step-by-step explanation:

Some transformations for a function f(x), are:

If f(x)+k, the function is shifted down "k" units.

If f(x)-k, the function is shifted up "k" units.

If bf(x), and b>1, the functio is stretch vertically by a factor of "b".

If  -f(x), the function is reflected over the x-axis.

Therefore, knowing that the parent function f(x) = log_3(x)  was transformated by reflecting it over the x-axis, stretching vertically by a factor of 2 and shifting it down 3 units, we can determine that the following function represents the transformation:

f(x) = -2log_3(x)-3

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