1. Section 1.2 Intercepts; Symmetry;

3. To find the x-intercept(s), let y = 0.
Find the x-intercept(s) and the y-intercept(s) of the equation then graph by plotting points.
To find the x-intercept(s), let y = 0.
As points the x intercepts are (-2,0) & (2,0)
To find the y-intercept(s), let x = 0.
As a point the y intercept is (0,-4)

4. Now find and plot some points.
We already know 3 points (the intercepts)

5. Practice: Find the intercepts and graph by plotting points
# 13) y = 2x + 8

6. The blue graph is symmetric to the red graph about the y-axis
The blue graph is symmetric to the red graph about the y-axis.(flipped across the y)
The blue graph is symmetric to the red graph about the x-axis.(flipped across the y)

7. If a graph is symmetric with respect to the x-axis and the point (3,2) is on the graph, what other point is also on the graph?
If a graph is symmetric with respect to the y-axis and the point (3,2) is on the graph, what other point is also on the graph?
(3,2)
(–3, 2)
(3,2)
(3,–2)

8. The blue graph is symmetric to the red graph about the origin(half rotation)

9. If a graph is symmetric with respect to the origin and the point (3,2) is on the graph, what other point is also on the graph?
(3,2)
(–3, –2)

11. x-Axis: y-Axis: Origin:
Not equivalent(different) equation so not symmetric with respect to the x-axis.
IS equivalent(since x2 = (-x)2 so symmetric with respect to the y-axis.
y-Axis:
Not equivalent(y is still different) so not symmetric with respect to the origin.
Origin:

12. Practice: list the intercepts and test for symmetry
# 49) y = x4 – 8x2 – 9