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If f(x)=log₃₍ₓ₎ , what is the transformation that occurs if g(x)=-log₃₍ₓ₎? (Enter s for stretch, c for compress, mx for mirrorred across the x-axis, my for mirrored across the y-axis, r for shift right, I for shift left, u for shift up, and d for shift down.)
You want to know the transformation that gets from f(x) = log₃(x) to g(x) = -log₃(x).
Reflection
Changing the sign of the function value causes the graph to be reflected over the x-axis. Here, the point f(3) = 1 gets mirrored to g(3) = -1, for example.
The transformation that occurs is "mx", mirrored across the x-axis.
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