To help you understand absolute value functions and how to graph them, here are some simple steps:

1. Know the basic shape: The formula $y = |x|$ creates a "V" shape when you graph it.

2. Learn about changes:

   • Shifts: In the equation $y = |x - h| + k$, you can move the graph. Move it to the right by $h$ and up by $k$.
   • Stretches and compressions: For $y = a|x|$, if the number in front, $|a|$, is bigger than 1, the graph stretches out. If it’s less than 1, it gets squished.
   • Flips: If $a$ is a negative number, it flips the graph upside down over the x-axis.

3. Find where the graph touches the axes: To get the x-intercept, set $y = 0$. For the y-intercept, just use $x = 0$ in the equation.

By using these tips, you can make graphing absolute value functions much easier and more fun!