1. 3-1 Symmetry and Coordinate Graphs Pre Calc A

2. Point Symmetry Symmetric about the origin: any point in Quadrant I has a point in Quadrant III (rotate 180˚)

3. Determining Point Symmetry Algebraically A function, f(x) is symmetric about the origin if and only if f(-x) = -f(x)

4. Ex 17: Determine whether each function is symmetric with respect to the origin. a. f(x) = x 6 b. g(x)= -3x 3 + 5x

5. Line symmetry

6. Determining Line Symmetry Algebraically For all f(x) when testing for line symmetry the equation must be equal to the original. x-axis: (a, -b)y-axis: (-a, b) y = x: (b, a) y = -x: (-b, -a)

7. Ex : Determine whether the graph of x² + y = 3 is symmetric with respect to the x-axis, y-axis, y = x, and y = -x

8. Ex last one: With a partner determine whether the graph of is symmetric to the origin, x-axis, y-axis, y=x, and y = -x.