If f(x) = x², give the vertex and the three basic points of the graphs of f(x- 1.75), f(x) - 1.35, 5 f(x) and 5 f(x- 1.75) + 1.35. Quickly sketch each graph.

If water depths of 2.4, -12, -21.3 and -25.4 cm are observed at clock times 19.6, 29.4, 39.2 and 49 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 29.4 and 39.2 sec represents the average rate at which depth changes during this time interval.