The figure below shows a shaded rectangular region inside a large rectangle: A rectangle of length 10 units and width 5 units is
shown. Inside this rectangle is another rectangle of length 6 units and width 3 units placed symmetrically inside the larger rectangle. The smaller rectangle is shaded gray. What is the probability that a point chosen inside the large rectangle is not in the shaded region? 18% 36% 42% 64%
Each point on the graph of can be represented as .
When the graph of is reflected over the x-axis, each point on the graph is also reflected over the x-axis. The x-coordinate of each point will not change but the sign in front of the y-coordinate will flip. For example, (same as ) will become , and vice versa. In general, will become .
On the other hand, points on the graph of can be represented as . is the reflection of , so and shall be equivalent. In other words,