Answer:
The function formed is g(x) -2log5x+3 .....
Explanation:
According to the given statement the parent function f(x) = log5x has been transformed by reflecting it over the x-axis, stretching it vertically by a factor of two and shifting it up three units.
We have to find which function is representative of this transformation?
Solution:
The parent function y= log5x has been transformed by reflecting it over the x-axis.
f(x,y)⇒f(x,-y)
-y = log5x
y= -log5x
Now stretching it vertically by a factor of two means multiply the factor by output constant given.
y= -2log5x
Then shifting it up three units:
It means f(x)⇒f(x)+b function shift upwards by b units.
y= -2log5x+3
Thus the function formed is g(x) -2log5x+3 .....