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Math·Advanced Math·Nonlinear functions

hard

How many times does the graph of the given equation in the $xy$-plane cross the x-axis, where $a$, $b$, and $c$ are positive constants such that $a>6$ and $b>c$? $y=3{\left(\frac{a}{6}\right)}^{x+c}-b$

A

Zero

B

One

C

Two

D

Three