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Alexeev081
3 hours 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:
babunello [8.4K]3 hours ago
3 0
The third option is correct. Step-by-step explanation: Various transformations apply to a function f(x). If a transformation is applied downward by 'k' units, the function shifts down; if upward, it rises 'k' units. Additionally, if scaled vertically by a factor of 'b', it will stretch; if reflected over the x-axis, the operation is indicated. Thus, since the parent function has undergone reflection over the x-axis, a vertical stretch by a factor of 2, and a downward shift of three units, we can derive that the transformed function is presented.
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