Chapter 4 - An Introduction to Functions - 4-4 Graphing a Function Rule - Practice and Problem-Solving Exercises - Page 258: 30

The graph of y=|x| is graphed below and to graph the function y=|-2x|-1 we need to horizontally compress the graph by a factor of two, since the negative sign is inside the absolute value the graph is not reflected because the negative in absolute value becomes positive. Also, we need to move the y=|x| graph 1 unit down to get the final graph. To graph we multiply each x-value times 1/2 (because we are vertically compressing the graph) and subtract 1 from the y-value. So for example, the point (1,1) of function y=|x| becomes (0.5,0) for the function y=|-2x|-1.

The graph of y=|x| is graphed below and to graph the function y=|-2x|-1 we need to horizontally compress the graph by a factor of two, since the negative sign is inside the absolute value the graph is not reflected because the negative in absolute value becomes positive. Also, we need to move the y=|x| graph 1 unit down to get the final graph. To graph we multiply each x-value times 1/2 (because we are vertically compressing the graph) and subtract 1 from the y-value. So for example, the point (1,1) of function y=|x| becomes (0.5,0) for the function y=|-2x|-1.