1. Reflections of graphs along various lines.
Precalculus Section 4.3 Reflect graphs and use symmetry to sketch graphs
Reflections of graphs along various lines.
The graph of y = -f(x) is the graph of y = f(x) reflected in the x-axis.

2. The graph of y = |f(x)| is identical to the graph of y = f(x) when f(x) > 0 and identical to the graph of y = -f(x) when f(x)<0.

3. The graph of y = f(-x) is the graph of y = f(x) reflected in the y-axis.

4. The graph of x = f(y) is the graph of y = f(x) reflected in the line y=x.

5. Graph the following functions.

6. Tests for symmetry in various axes
Symmetry in the y-axis:
(-x,y) is on the graph whenever (x,y) is
Symmetry in the x-axis:
(x,-y) is on the graph whenever (x,y) is.

7. Test for symmetry in the origin:
(-x,-y) is on the graph whenever (x,y) is.
Test for symmetry in the line y = x:
(y,x) is on the graph whenever (x,y) is.

8. Test for symmetry in the: x-axis y-axis line y=x origin
x3 + y3 = 1

9. assign
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