6.2 Exercise 26

The graph of $f \left(x\right) = - \frac{1}{2} \left(\frac{1}{4}\right)^{x - 2} + 4$ is shifted downward $4$ units, and then shifted left $2$ units, stretched vertically by a factor of $4 ,$ and reflected about the x-axis. What is the equation of the new function, $g \left(x\right) ?$ State its y-intercept, domain, and range.