Answer
$y=-2|x-5|+4$
Work Step by Step
The vertex is at $(5,4)$ thus the equation is in the form $y=a|x-5|+4$.
After substituting in the coordinates of the point $(3,0)$ we get: $0=a|3-5|+4\\-4=2a\\a=-2$.
Thus $y=-2|x-5|+4$
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