If f(x) = x², give the vertex and the three basic points of the graphs of f(x- 1.75), f(x) - .35, 5 f(x) and 5 f(x- 1.75) + .35. Quickly sketch each graph.

If water depths of -17.2, -41.2, -54.7 and -57.5 cm are observed at clock times 39, 58.5, 78 and 97.5 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 58.5 and 78 sec represents the average rate at which depth changes during this time interval.