If f(x) = x², give the vertex and the three basic points of the graphs of f(x- .75), f(x) - -.15, 4 f(x) and 4 f(x- .75) + -.15. Quickly sketch each graph.

If water depths of 13.1, -4.1, -15.2 and -20.2 cm are observed at clock times 29.6, 44.4, 59.2 and 74 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 44.4 and 59.2 sec represents the average rate at which depth changes during this time interval.