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

Apr 2, 2015

You make two different graphs.

The absolute makes a negative between the bars positive. So if $x < 0$ the equation $| \frac{1}{2} x |$turns into $- \frac{1}{2} x$.

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

For $x \ge 0$ the graph is $y = - \frac{1}{2} x$

For $x < 0$ you graph $y = - \left(- \frac{1}{2} x\right) = \frac{1}{2} x$

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