If f(x) = x², give the vertex and the three basic points of the graphs of f(x--.25), f(x) - .35, 2 f(x) and 2 f(x--.25) + .35. Quickly sketch each graph.

If water depths of -66.4, -108, -136.2 and -150.9 cm are observed at clock times 51.8, 77.7, 103.6 and 129.5 sec, then at what average rate does the depth change during each time interval?

Sketch a graph of this data set and use a sketch to explain why the slope of this graph between 77.7 and 103.6 sec represents the average rate at which depth changes during this time interval.