Question

How do you graph the absolute value equation `y=-abs(1/2 x)`?

Answer 1

You make two different graphs.

The absolute makes a negative between the bars positive. So if `x<0` the equation `|1/2 x|`turns into `-1/2 x`.

And then the `-`sign outside the absolute bars makes it all negative again:

For `x>=0` the graph is `y=- 1/2 x`

For `x<0` you graph `y=-(- 1/2 x)= 1/2 x`

`x=0,y=0` is where these two meet:
graph{-|0.5x| [-10.21, 9.79, -8.24, 1.76]}