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Math·Advanced Math·Equivalent expressions

hard

$f(x)=4^{-5(x+1)}$
Which of the following equivalent forms of the given function $f$ displays, as the base or the coefficient, the $y$-coordinate of the $y$-intercept of the graph of $y=f(x)$ in the $xy$-plane?

A

$f(x)=\frac{1}{1,024}{\left(\frac{1}{4}\right)}^{5x}$

B

$f(x)={\left(\frac{1}{4}\right)}^{5x+5}$

C

$f(x)=4^{-5x-5}$

D

$f(x)=1,024^{-x-1}$