Absolute Value Grapher

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Absolute Value Challenge

Master graphing & identifying features of absolute value functions: y = a|x - h| + k

Select Difficulty

Target Function

1. Vertex Coordinate (h, k)

( , )

2. Opening Direction

3. Vertical Stretch Factor |a| Magnitude of slope rate (positive number/fraction).

Interactive Coordinate Grid Drag blue handles: Vertex & Guide Point

User Graph

Target Solution

How to Play

1. Analyze the Function: Examine the given equation in the form y = a|x - h| + k.

2. Input Analysis: Enter the vertex coordinates (h, k), select whether it opens Up or Down, and enter the magnitude of stretch factor |a|.

3. Draw the Graph: Click and drag the interactive points on the grid canvas:

Primary Dot (Blue): Set the Vertex (h,k).
Secondary Dot (Cyan): Set any second point along the arm to define slope rate and direction.

4. Submit: Score points by matching both numeric features and exact graph positioning!