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MATHEMATICS MISSIONS / CHALLENGE 06

Quadratic Transformation Challenge

Match target parabolas by changing quadratic transformation parameters.

YOUR MATH BADGES0 / 12Problem solver
∑ PARABOLA MATCHManipulate. Predict. Prove it visually.+1 MATH BADGE
LIVE MATHEMATICAL MODELREADY
TARGETYOUR GRAPHy = 1(x − 0)² + 0
Target vertex(2, -3)
Your vertex(0, 0)
Target scale1
The graph uses equal coordinate scale where geometry requires it. Values update directly from the displayed equations.
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Free online quadratic transformation game

Quadratic Transformation Challenge: experiment guide

This browser-based graph game helps you match target parabolas by changing quadratic transformation parameters. Designed for Grades 7–12, it turns an abstract idea into a model you can control, measure, reset, and test without signing up.

What you can investigate

Explore Vertex form, translations, stretches, reflections by changing the available controls and comparing the model’s visual and numerical evidence. Try one variable at a time, then combine changes to test a stronger explanation.

Vertex formtranslationsstretchesreflections

How to use this simulation

  1. 1Read the mission and make a prediction before moving a control.
  2. 2Change one variable so its effect is easier to identify.
  3. 3Run the model and record a value, pattern, or visible change.
  4. 4Reset, test a different setup, and explain the result from evidence.

For students, teachers, and independent study

A typical investigation takes 7–12 min. Use it as a lesson demonstration, a guided inquiry activity, a homework experiment, or a quick review. The simulation runs in a modern web browser and does not require an account.

Level
Intermediate
Time
7–12 min
Format
Graph game

Common questions

What does the Quadratic Transformation Challenge teach?

Match target parabolas by changing quadratic transformation parameters. The main ideas are Vertex form, translations, stretches, reflections.

Is the Quadratic Transformation Challenge free to use?

Yes. You can run the simulation online for free without creating an account.

How long does the activity take?

Most learners can complete one investigation in 7–12 min. You can repeat it to compare more variables or improve your explanation.