A quadratic written down is a fact to memorise. A quadratic whose coefficients you can drag is a thing you can develop intuition about — you find out what a does by moving it. Math is the subject where that difference matters most, because almost everything later is built on whether the earlier thing became intuition or stayed a formula.
A quadratic whose coefficients you control. Drag the plot to pan, and zoom with the buttons.
The vertex sits at x = −b/2a, which is why it slides sideways when you move b alone. The sign of a decides which way the curve opens, and its size decides how tight it is.
You describe the goal in your own words and it asks questions back until the plan is one you would actually follow. These are the shapes that goal usually takes.
Not a fixed syllabus — the plan is built around your goal and cuts what does not serve it. These are the topics it draws from, and whatever you get wrong comes back until it stops coming back.
The mechanics are the same whatever the subject — a slider is a slider whether it is moving a coefficient or a rate of return. What changes is what it is a slider for.
Or see how it works and what it costs.