Reflections of Graphs

Use a computer to generate the graph of a function.

Scope and Sequence

Ninth Grade: Integrated
Patterns and Relationships #4: Use a graphing calculator or computer to generate the graph of a function.
Tenth Grade: Integrated
Algebra #5: Symbolize transformations of figures and graphs.
Algebra #7: Graph linear functions.
Eleventh Grade: Integrated
Patterns and Relationships #3: Use a graphing calculator or computer to graph functions.

Find a website that can generate graphs of different functions. Generate graphs of the following functions and then write a few (minimum 5) sentences comparing and contrasting the graphs.

a.) y = x and y = -x

b.) y = (x)^2 and y = -(x)^2

c.) y = (x)^(1/2) and y = -(x)^(1/2)

d.) y = absolute value of x and y = -(absolute value of x)

Please note that these graphs are reflections of each other. A reflection is exactly how it sounds, a mirror image. If you study the graphs of each function, you will find that they mirror images of each other. This happens because every y in the first equation becomes the exact opposite in the second equation.

In order to get full credit for this mini - assignment!

You must submit a computer printout or scaled drawing of each graph.
*If using a scaled drawing please use graph paper.

You should have 3 sentences comparing and contrasting each set of graphs for a total of 12 sentences. Each part is seperate. For example, Part a will show both graphs (y = x and y = -x) and will have 3 sentences comparing and contrasting these two graphs to each other.

*You must include the websites that you used to generate the graphs!