This worksheet generates a randomly transformed function. The black curve represents some function, f(x). The blue curve is a random transformation of f(x) that we'll call g(x). Your task to figure out the equation of the transformed function. The transformations may include combinations of • vertical shifts (up or down), • horizontal shifts (left or right), • vertical stretches or compressions, • horizontal stretches or compressions, and/or • reflections about the x-axis or y-axis.

Click "Reload" to generate a new transformed function. Figure out the equation of the transformed function. Click "show equation" to check your answer.