Answer:
[tex]y = - {10}^{x - 3} - 5[/tex]
Step-by-step explanation:
The parent exponential function given to us is
[tex]y = f(x)= {10}^{x} [/tex]
If this function is reflected over the x-axis, shifted right 3 units and down 5 units, then it becomes:
[tex]y = g(x) = - f(x - 3) - 5[/tex]
This implies that:
[tex]y = g(x) = - {10}^{x - 3} - 5[/tex]
where the negative multplier indicates reflection over x-axis, x-3, indicates shift to the right 3 units, and -5 indicates downward shift 5 units
