Given the function f(x)=log5 x(5 is the base of x), what function is the transformation of f(x) right 6 units, up 3 units, stretched vertically by a factor of 2 and reflected across the x-axis?
The transformation of the given function f(x) after a translation right 6 units and up 3 units is:
g(x) = log5 (x - 6) + 3
Then, the function is stretched vertically by a factor of 2:
h(x) = 2 * log5 (x - 6) + 3
Finally, the function is reflected across the x-axis:
j(x) = -2 * log5 (x - 6) + 3
Therefore, the final transformed function is j(x) = -2 * log5 (x - 6) + 3.