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?

Step-by-step explanation:

In order to stretch a function you need to multiply by a factor, in this case is two.

In order to shift your function vertically, you need to add or subtract a number, adding you shift up, subtracting you shift down. That's why wee subtract the 3 units, because it says 'shifting down'.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)