Question

How is the graph y=-1/2 (5)x-3 translated from the graph of y=1\2(5)x ?

Answer 1

For this case we have the following function:
 y = 1 \ 2 (5) ^ x
 We apply the following function transformations:
 Reflections:
 To graph y = -f (x), reflect the graph of y = f (x) on the x-axis. (Vertical reflection)
 y = -1 \ 2 (5) ^ x
 Horizontal translations
 Suppose that h> 0
 To graph y = f (x-h), move the graph of h units to the right.
 y = -1 / 2 (5) ^ (x-3)
 Answer:
 Reflection on the x axis.
 Horizontal movement 3 units to the right