Completing the Square

Convert to vertex form by completing the square.

1️⃣

Watch the video

Start here (or skip if you already know it)

2️⃣

Visualize it

Explore it, then spot the correct graph

3️⃣

Practice problems

Answer 3 problems (80%+ correct)

Step 1: Watch

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Graphing Quadratics (Completing the Square)

The Organic Chemistry Tutor · 47:00

Play with the interactive model to see how the math works, then test yourself by spotting the correct graph.

Move the controls and watch the math change — build a picture in your head before you solve.

4x + 2 = 14

Left side

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Right side

Each side of the scale weighs the same, so the beam is level. The blue x-boxes each hold the same unknown weight.

Answer 3 problems with at least 80% correct to complete this skill.

Problem 1

Complete the square: x² + 6x + ___ = (x + 3)²

Tip: press 1–4 to pick an answer.

Press Enter to check

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