Question

Write the standard form of the equation of an exponential function Y equals 10^xthat has been reflected over the X axis shifted write three and down five

Answer 1

`y = - {10}^(x - 3) - 5`

Explanation:

The parent exponential function given to us is

`y = f(x)= {10}^(x)`

If this function is reflected over the x-axis, shifted right 3 units and down 5 units, then it becomes:

`y = g(x) = - f(x - 3) - 5`

This implies that:

`y = g(x) = - {10}^(x - 3) - 5`

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