1. $z$ is a complex number, then the graph represented by the equation $\left(\frac{1}{5}\right)^{|x-3|}=\left(\frac{1}{5}\right)^{|x+3|-1}$ is
A. Line
B. Ellipse
C. Hyperbola with real semi-axis length of 1
D. The right branch of a hyperbola with foci on the $x$-axis and real semi-axis length of $\frac{1}{2}$
1. D $\quad|z-3|=|z+3|-1 \quad|z+3|-|z-3|=1$

Translate to English:

1. D $\quad|z-3|=|z+3|-1 \quad|z+3|-|z-3|=1$