Question

What is the vertex of the graph of y = –|3x – 12|+ 5?

Answer 1

might be easier to see if you wrote it as
\[y=3|x-4|+5\]

Answer 2

Vertex is (4,5)....obvious from question...

Answer 3

well actually i was wrong, it should be
\[y=-3|x-4|+5\] then you read off the answer since it is of the form \[y=a|x-h|+k\] which has vertex \((h,k)\)

Answer 4

if you graph it you will see the vertex, it it the the point where the absolute value changes direction
http://www.wolframalpha.com/input/?i=y%3D-3abs%28x-4%29%2B5