Answer:
The order of transformation is X-axis Reflection, Vertical Shift Up and then Vertical Shift Down.
Step-by-step explanation:
A function [tex]f(x) = 3^{x}[/tex] is transformed into the function [tex]g(x) = - 3^{x} + 4 - 7[/tex].
Now, there is a reflection across the x-axis of the original function to make it [tex]f(x) = - 3^{x}[/tex].
Then there is a vertical shift up by 4 units to transform it to [tex]f(x) = - 3^{x} + 4[/tex].
Again, there is a vertical shift down by 7 units to transform it to [tex]f(x) = - 3^{x} + 4 - 7[/tex].
So, the order of transformation is X-axis Reflection, Vertical Shift Up and then Vertical Shift Down. (Answer)
