Pick a base function — linear, quadratic, cubic, reciprocal, exponential, logarithmic, sine, cosine, absolute value, or square root — and apply the four affine transformations: g(x) = a · f(b(x − h)) + k. Isolate one transformation at a time with Auto-mode animation, or combine all four in the Custom tab. The dashed base curve stays visible alongside the transformed curve so every change reads at a glance.

Pick a function family from a sidebar of twelve standard families — linear, quadratic, cubic, power, rational, exponential, logarithmic, sine, cosine, tangent, absolute value, and square root — and adjust its parameters with live sliders. The plot, symbolic equation, and explanation panel update in real time, with the three trigonometric families grouped together for direct comparison.