Question 1197591
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Any linear absolute value function {{{abs(A)}}} opens up; any linear absolute value function {{{-abs(A)}}} opens down.  So your function {{{-abs(x-5)-3}}} opens down.<br>
The vertex of any linear absolute value function is when the expression inside the absolute value symbols is equal to 0. So in your example, the vertex is when
x-5 = 0
x = 5<br>
To find the y value at the vertex, evaluate the function when the absolute value part is 0.  For your example,
{{{f(5)=-abs(5-5)-3=0-3=-3}}}<br>
The vertex is when x=5 and y=-3.<br>
ANSWER: vertex(5,-3); opens down<br>