If f(x) = x², give the vertex and the three basic points of the graphs of f(x- .25), f(x) - -1.65, 2 f(x) and 2 f(x- .25) + -1.65. Quickly sketch each graph.

If water depths of 57.3, 51.1, 47.2 and 45.8 cm are observed at clock times 13.6, 20.4, 27.2 and 34 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 20.4 and 27.2 sec represents the average rate at which depth changes during this time interval.