Question

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) = -2log3(x) - 3
g(x) = 2log3(x) + 3
g(x) = log3(2x) + 3

Answer 1

f(x) = -2 log3x - 3.

Explanation:

f(x) = log3x

Reflecting over x axis makes it f(x) = f(x) = -log3x

Vertical stretch gives -2 log3x

Finally moving the graph down 3 units gives -2 log3x - 3.