Answer:
<em>The translation corresponds to a translation of 13 units to the right</em>
Step-by-step explanation:
<u>Translation of a Graph</u>
If the graph of
y=f(x) is translated a units horizontally, then the equation of the translated graph is
y =f(x - a)
The value of a is considered positive for translations to the right.
The parent function is
y = x
and the given function is
y = x - 13
The translation corresponds to a translation of 13 units to the right
(√3n)-23=16
Put all of the numbers without a variable on the right side of the equation
(√3n)=39
Simplify
<span>1.732051n</span>=<span>39
</span>
Divide 39 by 1.732051
n=<span>22.516658
Round
n=22.5</span>
If <em>z</em> ⁷ = 128<em>i</em>, then there are 7 complex numbers <em>z</em> that satisfy this equation.
![\implies z=\sqrt[7]{2^7} e^{i\frac17\left(\frac\pi2+2n\pi\right)}](https://tex.z-dn.net/?f=%5Cimplies%20z%3D%5Csqrt%5B7%5D%7B2%5E7%7D%20e%5E%7Bi%5Cfrac17%5Cleft%28%5Cfrac%5Cpi2%2B2n%5Cpi%5Cright%29%7D)
(where <em>n</em> = 0, 1, 2, …, 6)
