If f(x) = x², give the vertex and the three basic points of the graphs of f(x--.75), f(x) - -.15, .2 f(x) and .2 f(x--.75) + -.15. Quickly sketch each graph.

If water depths of 21.8, 3.1, -9.4 and -15.7 cm are observed at clock times 29.8, 44.7, 59.6 and 74.5 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 44.7 and 59.6 sec represents the average rate at which depth changes during this time interval.