If f(x) = x², give the vertex and the three basic points of the graphs of f(x--1.25), f(x) - 1.85, .2 f(x) and .2 f(x--1.25) + 1.85. Quickly sketch each graph.

If water depths of 11.2, -.7, -8.8 and -13.3 cm are observed at clock times 24.8, 37.2, 49.6 and 62 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 37.2 and 49.6 sec represents the average rate at which depth changes during this time interval.