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

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