SOLUTION: y = |2x - 6| - 2 what is the vertex of this problem when graphed and does the graph open upwards or downwards?

To find the vertex:
Set the expression between the absolute value bars
equal to zero, that's just the red part below:







Now find the y-value that corresponds to that
value of x:







So the vertex is the point }

So we plot that point:

 

Now find and plot one point on each side of that point:

So choose x to be 1 less than 3, which is 2, Substitute
in:








So we plot the point 

 

Next choose x to be 1 more than 3, which is 4, Substitute
in:








So we plot the point 



Then we draw the v-shaped graph:



That's it.

Edwin