If f(x) = x², give the vertex and the three basic points of the graphs of f(x- .25), f(x) - -.65, 4 f(x) and 4 f(x- .25) + -.65. Quickly sketch each graph.

If water depths of 48.7, 45.7, 43.7 and 42.9 cm are observed at clock times 10.4, 15.6, 20.8 and 26 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 15.6 and 20.8 sec represents the average rate at which depth changes during this time interval.