The grey dashed curve is the parent. The purple curve is y = a·f(b(x − h)) + k. Orange dots show where the parent's key points land. Press Play the steps to watch the moves happen in order.
Your job
Tap a graph, then tap the equation that matches it (or the other way round). Each graph has a 1-unit grid from −6 to 6. Every card is a button, so Tab and Enter work too.
Fictional people and practice numbers to learn the math.
Wrong picks are fine here. Each one tells you why.