Graph an Absolute Value Function
The graph of y = |x| is a V-shape with its vertex at the origin; y = |x − h| + k is the same V moved so its vertex is at (h, k).
At a glance
| What it is | Graph absolute value functions online. See the V-shape of y = |x| and move the vertex with sliders in y = |x − h| + k. Free graphing calculator. |
|---|---|
| Type | Interactive guide with a calculator |
| Level | High school and college |
| Price | Free, with no account or sign-up |
| Works offline | Yes, after the first visit; installs as an app |
| Made by | Aalok (aalok.builds@gmail.com) |
| Last updated | 1 November 2026 |
Key facts
| Parent function | y = |x| |
|---|---|
| Vertex of y = a|x − h| + k | (h, k) |
| Slopes of the two sides | +a on the right, −a on the left |
| Domain | All real numbers |
| Range of y = |x| | y ≥ 0 |
Why is the graph a V shape?
|x| leaves positive numbers unchanged and turns negative numbers positive, so the left half of the line y = x is reflected above the x-axis.
How to use it in Plotline
- The graph of y = |x| and y = |x − h| + k with sliders for h and k is already loaded above. Edit the equation in the list to change it.
- Drag the graph to move around, scroll or pinch to zoom, and tap the crosshair to reset the view.
- Hover over or tap the curve to read the coordinates of any point.
- Press Enter to add another equation and compare graphs in different colors.
Frequently asked questions
How do I type absolute value?
Type the vertical bar key | around the expression, for example y = |x − 2|, or use the |a| key on Plotline’s keypad.
Is it free?
Yes. The graphing calculator is free with no account and no sign-up: plot as many equations as you like, use sliders, save graphs in your browser and share them by link. It installs as an app and keeps working offline.
Learn more
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Plotline is an independent project and is not affiliated with Desmos, Texas Instruments or Casio.